57273216000 has 1408 divisors, whose sum is σ = 257509324800. Its totient is φ = 10911744000.

The previous prime is 57273215999. The next prime is 57273216047. The reversal of 57273216000 is 61237275.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 384383926 + ... + 384384074.

Almost surely, 2^57273216000 is an apocalyptic number.

57273216000 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 57273216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128754662400).

57273216000 is an abundant number, since it is smaller than the sum of its proper divisors (200236108800).

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

57273216000 is a wasteful number, since it uses less digits than its factorization.

57273216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The spelling of 57273216000 in words is "fifty-seven billion, two hundred seventy-three million, two hundred sixteen thousand".