5623016264100 has 81 divisors (see below), whose sum is σ = 17625255073153. Its totient is φ = 1499452033440.

The previous prime is 5623016264059. The next prime is 5623016264111. The reversal of 5623016264100 is 14626103265.

The square root of 5623016264100 is 2371290.

It is a perfect power (a square), and thus also a powerful number.

5623016264100 is a `hidden beast` number, since 5 + 6 + 2 + 3 + 0 + 1 + 6 + 2 + 641 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2024285855076 + 3598730409024 = 1422774^2 + 1897032^2 .

It is a super-3 number, since 3×5623016264100³ (a number of 39 digits) contains 333 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 71099179 + ... + 71178221.

Almost surely, 2^{5623016264100} is an apocalyptic number.

5623016264100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5623016264100 is the 2371290-th square number.

It is an amenable number.

5623016264100 is an abundant number, since it is smaller than the sum of its proper divisors (12002238809053).

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

5623016264100 is an frugal number, since it uses more digits than its factorization.

5623016264100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158106 (or 79053 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 5623016264100 by its sum of digits (36), we get a square (202428585507600 = 14227740²).

5623016264100 divided by its sum of digits (36) gives a square (156194896225 = 395215²).

The spelling of 5623016264100 in words is "five trillion, six hundred twenty-three billion, sixteen million, two hundred sixty-four thousand, one hundred".