5556038400 has 864 divisors, whose sum is σ = 23115187200. Its totient is φ = 1293926400.

The previous prime is 5556038359. The next prime is 5556038431. The reversal of 5556038400 is 48306555.

5556038400 is a `hidden beast` number, since 5 + 5 + 5 + 603 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 70329561 + ... + 70329639.

Almost surely, 2^5556038400 is an apocalyptic number.

5556038400 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 5556038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11557593600).

5556038400 is an abundant number, since it is smaller than the sum of its proper divisors (17559148800).

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

5556038400 is a wasteful number, since it uses less digits than its factorization.

5556038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5556038400 is about 74538.8381986197. The cubic root of 5556038400 is about 1771.1489236966.

The spelling of 5556038400 in words is "five billion, five hundred fifty-six million, thirty-eight thousand, four hundred".