54579315232000 has 1152 divisors, whose sum is σ = 154450579046400. Its totient is φ = 19194679296000.

The previous prime is 54579315231971. The next prime is 54579315232009. The reversal of 54579315232000 is 23251397545.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54579315232009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 172174495842 + ... + 172174496158.

It is an arithmetic number, because the mean of its divisors is an integer number (134071683200).

Almost surely, 2^{54579315232000} is an apocalyptic number.

54579315232000 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 54579315232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77225289523200).

54579315232000 is an abundant number, since it is smaller than the sum of its proper divisors (99871263814400).

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

54579315232000 is an equidigital number, since it uses as much as digits as its factorization.

54579315232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 46.

The spelling of 54579315232000 in words is "fifty-four trillion, five hundred seventy-nine billion, three hundred fifteen million, two hundred thirty-two thousand".