57601549474560 has 2304 divisors, whose sum is σ = 268890770534400. Its totient is φ = 11330368045056.

The previous prime is 57601549474529. The next prime is 57601549474571. The reversal of 57601549474560 is 6547494510675.

57601549474560 is a `hidden beast` number, since 5 + 7 + 6 + 0 + 1 + 549 + 47 + 45 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5720677206 + ... + 5720687274.

It is an arithmetic number, because the mean of its divisors is an integer number (116706063600).

Almost surely, 2^{57601549474560} 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 57601549474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134445385267200).

57601549474560 is an abundant number, since it is smaller than the sum of its proper divisors (211289221059840).

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

57601549474560 is a wasteful number, since it uses less digits than its factorization.

57601549474560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10243 (or 10223 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 63.

The spelling of 57601549474560 in words is "fifty-seven trillion, six hundred one billion, five hundred forty-nine million, four hundred seventy-four thousand, five hundred sixty".