53726604100 has 81 divisors (see below), whose sum is σ = 126315647703. Its totient is φ = 19826389440.

The previous prime is 53726604079. The next prime is 53726604187. The reversal of 53726604100 is 140662735.

It is a happy number.

The square root of 53726604100 is 231790.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13848111684 + 39878492416 = 117678^2 + 199696^2 .

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, 30131809 + ... + 30133591.

Almost surely, 2^53726604100 is an apocalyptic number.

53726604100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53726604100 is the 231790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53726604100

53726604100 is an abundant number, since it is smaller than the sum of its proper divisors (72589043603).

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

53726604100 is a wasteful number, since it uses less digits than its factorization.

53726604100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3606 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 53726604100 in words is "fifty-three billion, seven hundred twenty-six million, six hundred four thousand, one hundred".