57273384960000 has 2280 divisors, whose sum is σ = 235264018540320. Its totient is φ = 13754695680000.

The previous prime is 57273384959897. The next prime is 57273384960037. The reversal of 57273384960000 is 6948337275.

57273384960000 is a `hidden beast` number, since 5 + 7 + 27 + 3 + 3 + 8 + 4 + 9 + 600 + 0 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 535265279947 + ... + 535265280053.

It is an arithmetic number, because the mean of its divisors is an integer number (103185973044).

Almost surely, 2^{57273384960000} is an apocalyptic number.

57273384960000 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 57273384960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117632009270160).

57273384960000 is an abundant number, since it is smaller than the sum of its proper divisors (177990633580320).

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

57273384960000 is an frugal number, since it uses more digits than its factorization.

57273384960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 57273384960000 in words is "fifty-seven trillion, two hundred seventy-three billion, three hundred eighty-four million, nine hundred sixty thousand".