85917525120 has 768 divisors, whose sum is σ = 366282000000. Its totient is φ = 18955689984.

The previous prime is 85917524993. The next prime is 85917525137. The reversal of 85917525120 is 2152571958.

85917525120 is a `hidden beast` number, since 8 + 591 + 7 + 5 + 2 + 51 + 2 + 0 = 666.

It is a super-2 number, since 2×85917525120² (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24553131 + ... + 24556629.

Almost surely, 2^85917525120 is an apocalyptic number.

85917525120 is a gapful number since it is divisible by the number (80) 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 85917525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183141000000).

85917525120 is an abundant number, since it is smaller than the sum of its proper divisors (280364474880).

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

85917525120 is a wasteful number, since it uses less digits than its factorization.

85917525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3570 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 85917525120 in words is "eighty-five billion, nine hundred seventeen million, five hundred twenty-five thousand, one hundred twenty".