77950116135324 has 144 divisors (see below), whose sum is σ = 202193353960416. Its totient is φ = 25306089984000.

The previous prime is 77950116135319. The next prime is 77950116135433. The reversal of 77950116135324 is 42353161105977.

77950116135324 is a `hidden beast` number, since 7 + 7 + 9 + 5 + 0 + 11 + 613 + 5 + 3 + 2 + 4 = 666.

77950116135324 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3129634479 + ... + 3129659385.

It is an arithmetic number, because the mean of its divisors is an integer number (1404120513614).

Almost surely, 2^{77950116135324} 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 77950116135324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101096676980208).

77950116135324 is an abundant number, since it is smaller than the sum of its proper divisors (124243237825092).

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

77950116135324 is a wasteful number, since it uses less digits than its factorization.

77950116135324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28516 (or 28511 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 77950116135324 in words is "seventy-seven trillion, nine hundred fifty billion, one hundred sixteen million, one hundred thirty-five thousand, three hundred twenty-four".