57661315505024 has 128 divisors (see below), whose sum is σ = 143221057044480. Its totient is φ = 22464847042560.

The previous prime is 57661315504997. The next prime is 57661315505033. The reversal of 57661315505024 is 42050551316675.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×57661315505024² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 610364417 + ... + 610458879.

It is an arithmetic number, because the mean of its divisors is an integer number (1118914508160).

Almost surely, 2^{57661315505024} is an apocalyptic number.

It is an amenable number.

57661315505024 is an abundant number, since it is smaller than the sum of its proper divisors (85559741539456).

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

57661315505024 is a wasteful number, since it uses less digits than its factorization.

57661315505024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156428 (or 156416 counting only the distinct ones).

The product of its (nonzero) digits is 3780000, while the sum is 50.

The spelling of 57661315505024 in words is "fifty-seven trillion, six hundred sixty-one billion, three hundred fifteen million, five hundred five thousand, twenty-four".