57488607221760 has 768 divisors, whose sum is σ = 240080428224000. Its totient is φ = 12864574586880.

The previous prime is 57488607221737. The next prime is 57488607221789. The reversal of 57488607221760 is 6712270688475.

It is a happy number.

57488607221760 is a `hidden beast` number, since 5 + 7 + 4 + 8 + 8 + 607 + 2 + 2 + 17 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38809611 + ... + 40263669.

It is an arithmetic number, because the mean of its divisors is an integer number (312604724250).

Almost surely, 2^{57488607221760} 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 57488607221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120040214112000).

57488607221760 is an abundant number, since it is smaller than the sum of its proper divisors (182591821002240).

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

57488607221760 is a wasteful number, since it uses less digits than its factorization.

57488607221760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454119 (or 1454093 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 57488607221760 in words is "fifty-seven trillion, four hundred eighty-eight billion, six hundred seven million, two hundred twenty-one thousand, seven hundred sixty".