92493434880 has 1560 divisors, whose sum is σ = 429492791520. Its totient is φ = 18207866880.

The previous prime is 92493434807. The next prime is 92493434909. The reversal of 92493434880 is 8843439429.

92493434880 is a `hidden beast` number, since 92 + 49 + 3 + 434 + 8 + 80 = 666.

It is a super-2 number, since 2×92493434880² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4868075511 + ... + 4868075529.

It is an arithmetic number, because the mean of its divisors is an integer number (275315892).

Almost surely, 2^92493434880 is an apocalyptic number.

92493434880 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 92493434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214746395760).

92493434880 is an abundant number, since it is smaller than the sum of its proper divisors (336999356640).

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

92493434880 is a wasteful number, since it uses less digits than its factorization.

92493434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 92493434880 in words is "ninety-two billion, four hundred ninety-three million, four hundred thirty-four thousand, eight hundred eighty".