55973606400 has 396 divisors, whose sum is σ = 202895888832. Its totient is φ = 14741422080.

The previous prime is 55973606399. The next prime is 55973606431. The reversal of 55973606400 is 460637955.

55973606400 is a `hidden beast` number, since 559 + 7 + 36 + 0 + 64 + 0 + 0 = 666.

It is a super-2 number, since 2×55973606400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19121737 + ... + 19124663.

Almost surely, 2^55973606400 is an apocalyptic number.

55973606400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55973606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101447944416).

55973606400 is an abundant number, since it is smaller than the sum of its proper divisors (146922282432).

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

55973606400 is a wasteful number, since it uses less digits than its factorization.

55973606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3020 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 55973606400 in words is "fifty-five billion, nine hundred seventy-three million, six hundred six thousand, four hundred".