85157640900 has 720 divisors, whose sum is σ = 303186428160. Its totient is φ = 20603289600.

The previous prime is 85157640851. The next prime is 85157640917. The reversal of 85157640900 is 904675158.

85157640900 is a `hidden beast` number, since 8 + 515 + 7 + 6 + 40 + 90 + 0 = 666.

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 239 ways as a sum of consecutive naturals, for example, 441231204 + ... + 441231396.

Almost surely, 2^85157640900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85157640900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151593214080).

85157640900 is an abundant number, since it is smaller than the sum of its proper divisors (218028787260).

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

85157640900 is a wasteful number, since it uses less digits than its factorization.

85157640900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 85157640900 in words is "eighty-five billion, one hundred fifty-seven million, six hundred forty thousand, nine hundred".