85582746900 has 432 divisors, whose sum is σ = 323614287360. Its totient is φ = 18480441600.

The previous prime is 85582746889. The next prime is 85582746929. The reversal of 85582746900 is 964728558.

85582746900 is a `hidden beast` number, since 8 + 558 + 27 + 4 + 69 + 0 + 0 = 666.

It is a super-2 number, since 2×85582746900² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55899135 + ... + 55900665.

Almost surely, 2^85582746900 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 85582746900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161807143680).

85582746900 is an abundant number, since it is smaller than the sum of its proper divisors (238031540460).

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

85582746900 is a wasteful number, since it uses less digits than its factorization.

85582746900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 85582746900 in words is "eighty-five billion, five hundred eighty-two million, seven hundred forty-six thousand, nine hundred".