55267924377600 has 1125 divisors, whose sum is σ = 217778826835765. Its totient is φ = 13398284697600.

The previous prime is 55267924377587. The next prime is 55267924377647. The reversal of 55267924377600 is 677342976255.

It is a happy number.

The square root of 55267924377600 is 7434240.

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

55267924377600 is a `hidden beast` number, since 5 + 5 + 267 + 9 + 243 + 77 + 60 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19896452775936 + 35371471601664 = 4460544^2 + 5947392^2 .

It is a super-2 number, since 2×55267924377600² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5024356761595 + ... + 5024356761605.

Almost surely, 2^{55267924377600} is an apocalyptic number.

55267924377600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55267924377600 is the 7434240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55267924377600

55267924377600 is an abundant number, since it is smaller than the sum of its proper divisors (162510902458165).

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

55267924377600 is an frugal number, since it uses more digits than its factorization.

55267924377600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 63.

The spelling of 55267924377600 in words is "fifty-five trillion, two hundred sixty-seven billion, nine hundred twenty-four million, three hundred seventy-seven thousand, six hundred".