55873562400 has 432 divisors, whose sum is σ = 206643336480. Its totient is φ = 14570150400.

The previous prime is 55873562399. The next prime is 55873562527. The reversal of 55873562400 is 426537855.

55873562400 is a `hidden beast` number, since 5 + 5 + 87 + 3 + 562 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 47713815 + ... + 47714985.

Almost surely, 2^55873562400 is an apocalyptic number.

55873562400 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 55873562400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103321668240).

55873562400 is an abundant number, since it is smaller than the sum of its proper divisors (150769774080).

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

55873562400 is a wasteful number, since it uses less digits than its factorization.

55873562400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 55873562400 in words is "fifty-five billion, eight hundred seventy-three million, five hundred sixty-two thousand, four hundred".