55966982400 has 1296 divisors, whose sum is σ = 244114625664. Its totient is φ = 12421693440.

The previous prime is 55966982371. The next prime is 55966982417. The reversal of 55966982400 is 428966955.

It is a happy number.

55966982400 is a `hidden beast` number, since 5 + 596 + 6 + 9 + 8 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 576979152 + ... + 576979248.

Almost surely, 2^55966982400 is an apocalyptic number.

55966982400 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 55966982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122057312832).

55966982400 is an abundant number, since it is smaller than the sum of its proper divisors (188147643264).

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

55966982400 is an equidigital number, since it uses as much as digits as its factorization.

55966982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 55966982400 in words is "fifty-five billion, nine hundred sixty-six million, nine hundred eighty-two thousand, four hundred".