54660759552000 has 1600 divisors, whose sum is σ = 233081210419200. Its totient is φ = 12485394432000.

The previous prime is 54660759551987. The next prime is 54660759552001. The reversal of 54660759552000 is 25595706645.

54660759552000 is a `hidden beast` number, since 5 + 4 + 6 + 60 + 7 + 59 + 5 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

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

It is not an unprimeable number, because it can be changed into a prime (54660759552001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37158911265 + ... + 37158912735.

It is an arithmetic number, because the mean of its divisors is an integer number (145675756512).

Almost surely, 2^{54660759552000} is an apocalyptic number.

54660759552000 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 54660759552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116540605209600).

54660759552000 is an abundant number, since it is smaller than the sum of its proper divisors (178420450867200).

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

54660759552000 is an frugal number, since it uses more digits than its factorization.

54660759552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 54.

The spelling of 54660759552000 in words is "fifty-four trillion, six hundred sixty billion, seven hundred fifty-nine million, five hundred fifty-two thousand".