52785508100 has 72 divisors (see below), whose sum is σ = 123416975808. Its totient is φ = 19480348800.

The previous prime is 52785508081. The next prime is 52785508117. The reversal of 52785508100 is 180558725.

It is a super-2 number, since 2×52785508100² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2938145 + ... + 2956055.

It is an arithmetic number, because the mean of its divisors is an integer number (1714124664).

Almost surely, 2^52785508100 is an apocalyptic number.

52785508100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52785508100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61708487904).

52785508100 is an abundant number, since it is smaller than the sum of its proper divisors (70631467708).

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

52785508100 is a wasteful number, since it uses less digits than its factorization.

52785508100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20205 (or 20198 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 41.

The spelling of 52785508100 in words is "fifty-two billion, seven hundred eighty-five million, five hundred eight thousand, one hundred".