57523989895680 has 1280 divisors, whose sum is σ = 239336132935680. Its totient is φ = 11437159219200.

The previous prime is 57523989895667. The next prime is 57523989895709. The reversal of 57523989895680 is 8659898932575.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a junction number, because it is equal to n+sod(n) for n = 57523989895593 and 57523989895602.

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, 1631544612 + ... + 1631579868.

It is an arithmetic number, because the mean of its divisors is an integer number (186981353856).

Almost surely, 2^{57523989895680} 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 57523989895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119668066467840).

57523989895680 is an abundant number, since it is smaller than the sum of its proper divisors (181812143040000).

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

57523989895680 is a wasteful number, since it uses less digits than its factorization.

57523989895680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35421 (or 35405 counting only the distinct ones).

The product of its (nonzero) digits is 11757312000, while the sum is 84.

The spelling of 57523989895680 in words is "fifty-seven trillion, five hundred twenty-three billion, nine hundred eighty-nine million, eight hundred ninety-five thousand, six hundred eighty".