85392515520 has 224 divisors, whose sum is σ = 324419000640. Its totient is φ = 21019668480.

The previous prime is 85392515513. The next prime is 85392515543. The reversal of 85392515520 is 2551529358.

It is a happy number.

85392515520 is a `hidden beast` number, since 8 + 5 + 3 + 92 + 5 + 1 + 552 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 267811 + ... + 492450.

It is an arithmetic number, because the mean of its divisors is an integer number (1448299110).

Almost surely, 2^85392515520 is an apocalyptic number.

85392515520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85392515520 is an abundant number, since it is smaller than the sum of its proper divisors (239026485120).

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

85392515520 is a wasteful number, since it uses less digits than its factorization.

85392515520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760300 (or 760284 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 85392515520 in words is "eighty-five billion, three hundred ninety-two million, five hundred fifteen thousand, five hundred twenty".