925169042579040 has 4320 divisors, whose sum is σ = 4191604633006560. Its totient is φ = 191044092395520.

The previous prime is 925169042579039. The next prime is 925169042579063. The reversal of 925169042579040 is 40975240961529.

925169042579040 is a `hidden beast` number, since 9 + 2 + 5 + 16 + 9 + 0 + 4 + 2 + 579 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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 polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 846449260734 + ... + 846449261826.

It is an arithmetic number, because the mean of its divisors is an integer number (970278850233).

Almost surely, 2^{925169042579040} is an apocalyptic number.

925169042579040 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 925169042579040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095802316503280).

925169042579040 is an abundant number, since it is smaller than the sum of its proper divisors (3266435590427520).

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

925169042579040 is a wasteful number, since it uses less digits than its factorization.

925169042579040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 925169042579040 in words is "nine hundred twenty-five trillion, one hundred sixty-nine billion, forty-two million, five hundred seventy-nine thousand, forty".