992731574254680 has 384 divisors, whose sum is σ = 3538880911238400. Its totient is φ = 239876822974464.

The previous prime is 992731574254661. The next prime is 992731574254681. The reversal of 992731574254680 is 86452475137299.

992731574254680 is a `hidden beast` number, since 9 + 9 + 2 + 7 + 3 + 1 + 5 + 74 + 2 + 546 + 8 + 0 = 666.

992731574254680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 992731574254599 and 992731574254608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992731574254681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56201184 + ... + 71721936.

It is an arithmetic number, because the mean of its divisors is an integer number (9215835706350).

It is a 1-persistent number, because it is pandigital, but 2⋅992731574254680 = 1985463148509360 is not.

Almost surely, 2^{992731574254680} is an apocalyptic number.

992731574254680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992731574254680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769440455619200).

992731574254680 is an abundant number, since it is smaller than the sum of its proper divisors (2546149336983720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

992731574254680 is a wasteful number, since it uses less digits than its factorization.

992731574254680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15521035 (or 15521028 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 992731574254680 in words is "nine hundred ninety-two trillion, seven hundred thirty-one billion, five hundred seventy-four million, two hundred fifty-four thousand, six hundred eighty".