53585076100 has 144 divisors (see below), whose sum is σ = 126861411600. Its totient is φ = 19563724800.

The previous prime is 53585076079. The next prime is 53585076161. The reversal of 53585076100 is 167058535.

It can be written as a sum of positive squares in 24 ways, for example, as 20396981124 + 33188094976 = 142818^2 + 182176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21950880 + ... + 21953320.

It is an arithmetic number, because the mean of its divisors is an integer number (880982025).

Almost surely, 2^53585076100 is an apocalyptic number.

53585076100 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 53585076100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63430705800).

53585076100 is an abundant number, since it is smaller than the sum of its proper divisors (73276335500).

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

53585076100 is a wasteful number, since it uses less digits than its factorization.

53585076100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 40.

The spelling of 53585076100 in words is "fifty-three billion, five hundred eighty-five million, seventy-six thousand, one hundred".