75985560617328 has 160 divisors (see below), whose sum is σ = 227463461406720. Its totient is φ = 24258775173120.

The previous prime is 75985560617299. The next prime is 75985560617347. The reversal of 75985560617328 is 82371606558957.

75985560617328 is a `hidden beast` number, since 7 + 5 + 9 + 8 + 5 + 5 + 606 + 1 + 7 + 3 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27948150 + ... + 30546197.

It is an arithmetic number, because the mean of its divisors is an integer number (1421646633792).

Almost surely, 2^{75985560617328} is an apocalyptic number.

It is an amenable number.

75985560617328 is an abundant number, since it is smaller than the sum of its proper divisors (151477900789392).

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

75985560617328 is a wasteful number, since it uses less digits than its factorization.

75985560617328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58494492 (or 58494480 counting only the distinct ones).

The product of its (nonzero) digits is 762048000, while the sum is 72.

The spelling of 75985560617328 in words is "seventy-five trillion, nine hundred eighty-five billion, five hundred sixty million, six hundred seventeen thousand, three hundred twenty-eight".