57513920752640 has 176 divisors, whose sum is σ = 150518100126240. Its totient is φ = 20912801710080.

The previous prime is 57513920752633. The next prime is 57513920752649. The reversal of 57513920752640 is 4625702931575.

It is a tau number, because it is divible by the number of its divisors (176).

It is not an unprimeable number, because it can be changed into a prime (57513920752649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1396321166 + ... + 1396362354.

It is an arithmetic number, because the mean of its divisors is an integer number (855216477990).

Almost surely, 2^{57513920752640} 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 57513920752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75259050063120).

57513920752640 is an abundant number, since it is smaller than the sum of its proper divisors (93004179373600).

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

57513920752640 is a wasteful number, since it uses less digits than its factorization.

57513920752640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66018 (or 66000 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 56.

The spelling of 57513920752640 in words is "fifty-seven trillion, five hundred thirteen billion, nine hundred twenty million, seven hundred fifty-two thousand, six hundred forty".