85633780100 has 144 divisors (see below), whose sum is σ = 209169112320. Its totient is φ = 30163660800.

The previous prime is 85633780081. The next prime is 85633780123. The reversal of 85633780100 is 108733658.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4596404 + ... + 4614996.

It is an arithmetic number, because the mean of its divisors is an integer number (1452563280).

Almost surely, 2^85633780100 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 85633780100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104584556160).

85633780100 is an abundant number, since it is smaller than the sum of its proper divisors (123535332220).

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

85633780100 is a wasteful number, since it uses less digits than its factorization.

85633780100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18750 (or 18743 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 85633780100 in words is "eighty-five billion, six hundred thirty-three million, seven hundred eighty thousand, one hundred".