55653528100 has 81 divisors (see below), whose sum is σ = 124953768723. Its totient is φ = 21514992000.

The previous prime is 55653528067. The next prime is 55653528109. The reversal of 55653528100 is 182535655.

The square root of 55653528100 is 235910.

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

55653528100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 32842863076 + 22810665024 = 181226^2 + 151032^2 .

It is a super-2 number, since 2×55653528100² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55653528109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 73131720 + ... + 73132480.

Almost surely, 2^55653528100 is an apocalyptic number.

55653528100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55653528100 is the 235910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55653528100

55653528100 is an abundant number, since it is smaller than the sum of its proper divisors (69300240623).

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

55653528100 is an equidigital number, since it uses as much as digits as its factorization.

55653528100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 40.

The spelling of 55653528100 in words is "fifty-five billion, six hundred fifty-three million, five hundred twenty-eight thousand, one hundred".