57301309994640 has 160 divisors (see below), whose sum is σ = 179693146224000. Its totient is φ = 15103344537600.

The previous prime is 57301309994609. The next prime is 57301309994647. The reversal of 57301309994640 is 4649990310375.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (57301309994647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60426886 + ... + 61367834.

It is an arithmetic number, because the mean of its divisors is an integer number (1123082163900).

Almost surely, 2^{57301309994640} 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 57301309994640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89846573112000).

57301309994640 is an abundant number, since it is smaller than the sum of its proper divisors (122391836229360).

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

57301309994640 is a wasteful number, since it uses less digits than its factorization.

57301309994640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943905 (or 943899 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 60.

The spelling of 57301309994640 in words is "fifty-seven trillion, three hundred one billion, three hundred nine million, nine hundred ninety-four thousand, six hundred forty".