55538524800 has 1152 divisors, whose sum is σ = 230930219520. Its totient is φ = 13063680000.

The previous prime is 55538524781. The next prime is 55538524819. The reversal of 55538524800 is 842583555.

55538524800 is a `hidden beast` number, since 5 + 553 + 8 + 52 + 48 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55538524781) and next prime (55538524819).

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 367804725 + ... + 367804875.

It is an arithmetic number, because the mean of its divisors is an integer number (200460260).

Almost surely, 2^55538524800 is an apocalyptic number.

55538524800 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 55538524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115465109760).

55538524800 is an abundant number, since it is smaller than the sum of its proper divisors (175391694720).

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

55538524800 is a wasteful number, since it uses less digits than its factorization.

55538524800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 55538524800 in words is "fifty-five billion, five hundred thirty-eight million, five hundred twenty-four thousand, eight hundred".