55464960100 has 81 divisors (see below), whose sum is σ = 132357209803. Its totient is φ = 20159656000.

The previous prime is 55464960097. The next prime is 55464960163. The reversal of 55464960100 is 106946455.

It is a happy number.

The square root of 55464960100 is 235510.

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 9511320676 + 45953639424 = 97526^2 + 214368^2 .

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, 25905030 + ... + 25907170.

Almost surely, 2^55464960100 is an apocalyptic number.

55464960100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55464960100 is the 235510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55464960100

55464960100 is an abundant number, since it is smaller than the sum of its proper divisors (76892249703).

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

55464960100 is a wasteful number, since it uses less digits than its factorization.

55464960100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4318 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 55464960100 in words is "fifty-five billion, four hundred sixty-four million, nine hundred sixty thousand, one hundred".