85799000700 has 864 divisors, whose sum is σ = 330005544960. Its totient is φ = 18236275200.

The previous prime is 85799000689. The next prime is 85799000719. The reversal of 85799000700 is 700099758.

85799000700 is a `hidden beast` number, since 8 + 579 + 9 + 0 + 0 + 0 + 70 + 0 = 666.

It is a super-2 number, since 2×85799000700² (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 287 ways as a sum of consecutive naturals, for example, 1033722859 + ... + 1033722941.

Almost surely, 2^85799000700 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 85799000700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165002772480).

85799000700 is an abundant number, since it is smaller than the sum of its proper divisors (244206544260).

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

85799000700 is a wasteful number, since it uses less digits than its factorization.

85799000700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 85799000700 in words is "eighty-five billion, seven hundred ninety-nine million, seven hundred", and thus it is an aban number.