55773748800 has 1680 divisors, whose sum is σ = 267807716352. Its totient is φ = 11085465600.

The previous prime is 55773748783. The next prime is 55773748813. The reversal of 55773748800 is 884737755.

55773748800 is a `hidden beast` number, since 557 + 7 + 3 + 7 + 4 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×55773748800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2424945589 + ... + 2424945611.

Almost surely, 2^55773748800 is an apocalyptic number.

55773748800 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 55773748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133903858176).

55773748800 is an abundant number, since it is smaller than the sum of its proper divisors (212033967552).

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

55773748800 is an equidigital number, since it uses as much as digits as its factorization.

55773748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 55773748800 in words is "fifty-five billion, seven hundred seventy-three million, seven hundred forty-eight thousand, eight hundred".