75577102056 has 128 divisors (see below), whose sum is σ = 216303782400. Its totient is φ = 24437790720.

The previous prime is 75577102031. The next prime is 75577102061. The reversal of 75577102056 is 65020177557.

It is a happy number.

75577102056 is a `hidden beast` number, since 7 + 5 + 577 + 1 + 0 + 20 + 56 = 666.

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, 1114236 + ... + 1180116.

It is an arithmetic number, because the mean of its divisors is an integer number (1689873300).

Almost surely, 2^75577102056 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 75577102056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108151891200).

75577102056 is an abundant number, since it is smaller than the sum of its proper divisors (140726680344).

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

75577102056 is a wasteful number, since it uses less digits than its factorization.

75577102056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66056 (or 66046 counting only the distinct ones).

The product of its (nonzero) digits is 514500, while the sum is 45.

The spelling of 75577102056 in words is "seventy-five billion, five hundred seventy-seven million, one hundred two thousand, fifty-six".