77475650112 has 168 divisors, whose sum is σ = 253950216000. Its totient is φ = 22122298368.

The previous prime is 77475650071. The next prime is 77475650177. The reversal of 77475650112 is 21105657477.

77475650112 is a `hidden beast` number, since 7 + 7 + 475 + 65 + 0 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×77475650112² (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 7853439 + ... + 7863297.

Almost surely, 2^77475650112 is an apocalyptic number.

77475650112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77475650112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126975108000).

77475650112 is an abundant number, since it is smaller than the sum of its proper divisors (176474565888).

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

77475650112 is a wasteful number, since it uses less digits than its factorization.

77475650112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11833 (or 11820 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 77475650112 in words is "seventy-seven billion, four hundred seventy-five million, six hundred fifty thousand, one hundred twelve".