85707515520 has 768 divisors, whose sum is σ = 349335866880. Its totient is φ = 19127992320.

The previous prime is 85707515519. The next prime is 85707515561. The reversal of 85707515520 is 2551570758.

85707515520 is a `hidden beast` number, since 8 + 5 + 70 + 7 + 51 + 5 + 520 = 666.

It is a super-2 number, since 2×85707515520² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50623794 + ... + 50625486.

It is an arithmetic number, because the mean of its divisors is an integer number (454864410).

Almost surely, 2^85707515520 is an apocalyptic number.

85707515520 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 85707515520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174667933440).

85707515520 is an abundant number, since it is smaller than the sum of its proper divisors (263628351360).

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

85707515520 is a wasteful number, since it uses less digits than its factorization.

85707515520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 490000, while the sum is 45.

The spelling of 85707515520 in words is "eighty-five billion, seven hundred seven million, five hundred fifteen thousand, five hundred twenty".