55583942400 has 648 divisors, whose sum is σ = 234493435904. Its totient is φ = 12292300800.

The previous prime is 55583942387. The next prime is 55583942411. The reversal of 55583942400 is 424938555.

55583942400 is a `hidden beast` number, since 5 + 558 + 3 + 94 + 2 + 4 + 0 + 0 = 666.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12496977 + ... + 12501423.

Almost surely, 2^55583942400 is an apocalyptic number.

55583942400 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 55583942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117246717952).

55583942400 is an abundant number, since it is smaller than the sum of its proper divisors (178909493504).

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

55583942400 is a wasteful number, since it uses less digits than its factorization.

55583942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4517 (or 4495 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 55583942400 in words is "fifty-five billion, five hundred eighty-three million, nine hundred forty-two thousand, four hundred".