92920040898048 has 5120 divisors, whose sum is σ = 389718256435200. Its totient is φ = 21189497978880.

The previous prime is 92920040898029. The next prime is 92920040898101. The reversal of 92920040898048 is 84089804002929.

92920040898048 is a `hidden beast` number, since 92 + 9 + 20 + 0 + 408 + 9 + 80 + 48 = 666.

It is a super-3 number, since 3×92920040898048³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1272877272540 + ... + 1272877272612.

It is an arithmetic number, because the mean of its divisors is an integer number (76116846960).

Almost surely, 2^{92920040898048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92920040898048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194859128217600).

92920040898048 is an abundant number, since it is smaller than the sum of its proper divisors (296798215537152).

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

92920040898048 is a wasteful number, since it uses less digits than its factorization.

92920040898048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 92920040898048 in words is "ninety-two trillion, nine hundred twenty billion, forty million, eight hundred ninety-eight thousand, forty-eight".