925161185520 has 480 divisors, whose sum is σ = 3657874881024. Its totient is φ = 206592768000.

The previous prime is 925161185503. The next prime is 925161185537. The reversal of 925161185520 is 25581161529.

925161185520 is a `hidden beast` number, since 9 + 2 + 5 + 1 + 6 + 118 + 5 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (925161185503) and next prime (925161185537).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50132295 + ... + 50150745.

Almost surely, 2^925161185520 is an apocalyptic number.

925161185520 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 925161185520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828937440512).

925161185520 is an abundant number, since it is smaller than the sum of its proper divisors (2732713695504).

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

925161185520 is a wasteful number, since it uses less digits than its factorization.

925161185520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18981 (or 18972 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

The spelling of 925161185520 in words is "nine hundred twenty-five billion, one hundred sixty-one million, one hundred eighty-five thousand, five hundred twenty".