55556978400 has 864 divisors, whose sum is σ = 254926683648. Its totient is φ = 11039846400.

The previous prime is 55556978387. The next prime is 55556978413. The reversal of 55556978400 is 487965555.

55556978400 is a `hidden beast` number, since 5 + 5 + 5 + 569 + 78 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55556978387) and next prime (55556978413).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12749022 + ... + 12753378.

It is an arithmetic number, because the mean of its divisors is an integer number (295054032).

Almost surely, 2^55556978400 is an apocalyptic number.

55556978400 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 55556978400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127463341824).

55556978400 is an abundant number, since it is smaller than the sum of its proper divisors (199369705248).

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

55556978400 is a wasteful number, since it uses less digits than its factorization.

55556978400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4424 (or 4408 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The spelling of 55556978400 in words is "fifty-five billion, five hundred fifty-six million, nine hundred seventy-eight thousand, four hundred".