57426647459328 has 1920 divisors, whose sum is σ = 210024957542400. Its totient is φ = 15320606146560.

The previous prime is 57426647459183. The next prime is 57426647459339. The reversal of 57426647459328 is 82395474662475.

57426647459328 is a `hidden beast` number, since 5 + 7 + 4 + 2 + 6 + 6 + 4 + 7 + 4 + 593 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95870863573 + ... + 95870864171.

It is an arithmetic number, because the mean of its divisors is an integer number (109387998720).

Almost surely, 2^{57426647459328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57426647459328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105012478771200).

57426647459328 is an abundant number, since it is smaller than the sum of its proper divisors (152598310083072).

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

57426647459328 is an equidigital number, since it uses as much as digits as its factorization.

57426647459328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 762 counting only the distinct ones).

The product of its digits is 2438553600, while the sum is 72.

The spelling of 57426647459328 in words is "fifty-seven trillion, four hundred twenty-six billion, six hundred forty-seven million, four hundred fifty-nine thousand, three hundred twenty-eight".