85642118100 has 1512 divisors, whose sum is σ = 373493664320. Its totient is φ = 16628198400.

The previous prime is 85642118071. The next prime is 85642118131. The reversal of 85642118100 is 181124658.

85642118100 is a `hidden beast` number, since 8 + 5 + 642 + 1 + 1 + 8 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×85642118100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 1173179664 + ... + 1173179736.

Almost surely, 2^85642118100 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 85642118100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186746832160).

85642118100 is an abundant number, since it is smaller than the sum of its proper divisors (287851546220).

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

85642118100 is a wasteful number, since it uses less digits than its factorization.

85642118100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 85642118100 in words is "eighty-five billion, six hundred forty-two million, one hundred eighteen thousand, one hundred".