85376762100 has 864 divisors, whose sum is σ = 334948561920. Its totient is φ = 18811699200.

The previous prime is 85376762087. The next prime is 85376762117. The reversal of 85376762100 is 126767358.

85376762100 is a `hidden beast` number, since 8 + 537 + 6 + 7 + 6 + 2 + 100 = 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 287 ways as a sum of consecutive naturals, for example, 332205172 + ... + 332205428.

Almost surely, 2^85376762100 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 85376762100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167474280960).

85376762100 is an abundant number, since it is smaller than the sum of its proper divisors (249571799820).

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

85376762100 is a wasteful number, since it uses less digits than its factorization.

85376762100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 85376762100 in words is "eighty-five billion, three hundred seventy-six million, seven hundred sixty-two thousand, one hundred".