55770624000 has 1872 divisors, whose sum is σ = 265117114080. Its totient is φ = 11147673600.

The previous prime is 55770623999. The next prime is 55770624017. The reversal of 55770624000 is 42607755.

55770624000 is a `hidden beast` number, since 557 + 7 + 0 + 62 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a super-2 number, since 2×55770624000² (a number of 22 digits) contains 22 as substring.

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

It is a zygodrome in base 2.

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, 2935295991 + ... + 2935296009.

It is an arithmetic number, because the mean of its divisors is an integer number (141622390).

Almost surely, 2^55770624000 is an apocalyptic number.

55770624000 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 55770624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132558557040).

55770624000 is an abundant number, since it is smaller than the sum of its proper divisors (209346490080).

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

55770624000 is a wasteful number, since it uses less digits than its factorization.

55770624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 55770624000 in words is "fifty-five billion, seven hundred seventy million, six hundred twenty-four thousand".