92538855751680 has 2640 divisors, whose sum is σ = 392630549323320. Its totient is φ = 20699594883072.

The previous prime is 92538855751637. The next prime is 92538855751681. The reversal of 92538855751680 is 8615755883529.

92538855751680 is a `hidden beast` number, since 9 + 2 + 5 + 3 + 8 + 8 + 557 + 5 + 1 + 68 + 0 = 666.

92538855751680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 16368691838976 + 76170163912704 = 4045824^2 + 8727552^2 .

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 = 92538855751599 and 92538855751608.

It is not an unprimeable number, because it can be changed into a prime (92538855751681) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3190995025906 + ... + 3190995025934.

Almost surely, 2^{92538855751680} is an apocalyptic number.

92538855751680 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 92538855751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196315274661660).

92538855751680 is an abundant number, since it is smaller than the sum of its proper divisors (300091693571640).

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

92538855751680 is an frugal number, since it uses more digits than its factorization.

92538855751680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 725760000, while the sum is 72.

The spelling of 92538855751680 in words is "ninety-two trillion, five hundred thirty-eight billion, eight hundred fifty-five million, seven hundred fifty-one thousand, six hundred eighty".