57454751728000 has 1024 divisors, whose sum is σ = 166480193617920. Its totient is φ = 19522560000000.

The previous prime is 57454751727953. The next prime is 57454751728039. The reversal of 57454751728000 is 82715745475.

It is a super-2 number, since 2×57454751728000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22593294729 + ... + 22593297271.

It is an arithmetic number, because the mean of its divisors is an integer number (162578314080).

Almost surely, 2^{57454751728000} is an apocalyptic number.

57454751728000 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 57454751728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83240096808960).

57454751728000 is an abundant number, since it is smaller than the sum of its proper divisors (109025441889920).

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

57454751728000 is a wasteful number, since it uses less digits than its factorization.

57454751728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 10976000, while the sum is 55.

The spelling of 57454751728000 in words is "fifty-seven trillion, four hundred fifty-four billion, seven hundred fifty-one million, seven hundred twenty-eight thousand".