55979366400 has 432 divisors, whose sum is σ = 205440679080. Its totient is φ = 14558822400.

The previous prime is 55979366389. The next prime is 55979366407. The reversal of 55979366400 is 466397955.

55979366400 is a `hidden beast` number, since 5 + 5 + 97 + 93 + 66 + 400 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55979366407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18891319 + ... + 18894281.

Almost surely, 2^55979366400 is an apocalyptic number.

55979366400 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 55979366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102720339540).

55979366400 is an abundant number, since it is smaller than the sum of its proper divisors (149461312680).

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

55979366400 is a wasteful number, since it uses less digits than its factorization.

55979366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3042 (or 3014 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 55979366400 in words is "fifty-five billion, nine hundred seventy-nine million, three hundred sixty-six thousand, four hundred".