55750745664000 has 320 divisors, whose sum is σ = 205952552657280. Its totient is φ = 14866865049600.

The previous prime is 55750745663993. The next prime is 55750745664041. The reversal of 55750745664000 is 46654705755.

It is a happy number.

55750745664000 is a `hidden beast` number, since 5 + 5 + 7 + 5 + 0 + 74 + 566 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14403582 + ... + 17859581.

It is an arithmetic number, because the mean of its divisors is an integer number (643601727054).

Almost surely, 2^{55750745664000} is an apocalyptic number.

55750745664000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55750745664000 is an abundant number, since it is smaller than the sum of its proper divisors (150201806993280).

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

55750745664000 is an equidigital number, since it uses as much as digits as its factorization.

55750745664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32263205 (or 32263173 counting only the distinct ones).

The product of its (nonzero) digits is 17640000, while the sum is 54.

The spelling of 55750745664000 in words is "fifty-five trillion, seven hundred fifty billion, seven hundred forty-five million, six hundred sixty-four thousand".