55645333776400 has 45 divisors (see below), whose sum is σ = 133688272831581. Its totient is φ = 22258073833920.

The previous prime is 55645333776397. The next prime is 55645333776413. The reversal of 55645333776400 is 467733354655.

The square root of 55645333776400 is 7459580.

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

It can be written as a sum of positive squares in only one way, i.e., 20032320159504 + 35613013616896 = 4475748^2 + 5967664^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 149005111 + ... + 149378089.

Almost surely, 2^{55645333776400} is an apocalyptic number.

55645333776400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55645333776400 is the 7459580-th square number.

It is an amenable number.

55645333776400 is an abundant number, since it is smaller than the sum of its proper divisors (78042939055181).

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

55645333776400 is an frugal number, since it uses more digits than its factorization.

55645333776400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745976 (or 372986 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 58.

The spelling of 55645333776400 in words is "fifty-five trillion, six hundred forty-five billion, three hundred thirty-three million, seven hundred seventy-six thousand, four hundred".