55733932800 has 1620 divisors, whose sum is σ = 258414613184. Its totient is φ = 11379916800.

The previous prime is 55733932783. The next prime is 55733932801. The reversal of 55733932800 is 823933755.

55733932800 is a `hidden beast` number, since 557 + 3 + 3 + 93 + 2 + 8 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (55733932801) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1797868785 + ... + 1797868815.

Almost surely, 2^55733932800 is an apocalyptic number.

55733932800 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 55733932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129207306592).

55733932800 is an abundant number, since it is smaller than the sum of its proper divisors (202680680384).

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

55733932800 is a wasteful number, since it uses less digits than its factorization.

55733932800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 55733932800 in words is "fifty-five billion, seven hundred thirty-three million, nine hundred thirty-two thousand, eight hundred".