92398816873440 has 960 divisors, whose sum is σ = 416470949250048. Its totient is φ = 18731459174400.

The previous prime is 92398816873397. The next prime is 92398816873459. The reversal of 92398816873440 is 4437861889329.

92398816873440 is a `hidden beast` number, since 9 + 2 + 3 + 98 + 8 + 16 + 87 + 3 + 440 = 666.

It is a super-2 number, since 2×92398816873440² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 39785557 + ... + 42043883.

Almost surely, 2^{92398816873440} is an apocalyptic number.

92398816873440 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 92398816873440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208235474625024).

92398816873440 is an abundant number, since it is smaller than the sum of its proper divisors (324072132376608).

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

92398816873440 is a wasteful number, since it uses less digits than its factorization.

92398816873440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258413 (or 2258396 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 92398816873440 in words is "ninety-two trillion, three hundred ninety-eight billion, eight hundred sixteen million, eight hundred seventy-three thousand, four hundred forty".