77315315150556 has 288 divisors, whose sum is σ = 235739726441856. Its totient is φ = 20907611136000.

The previous prime is 77315315150531. The next prime is 77315315150573. The reversal of 77315315150556 is 65505151351377.

It is a happy number.

77315315150556 is a `hidden beast` number, since 7 + 7 + 3 + 1 + 5 + 31 + 5 + 1 + 50 + 556 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45168166 + ... + 46848626.

It is an arithmetic number, because the mean of its divisors is an integer number (818540716812).

Almost surely, 2^{77315315150556} 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 77315315150556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117869863220928).

77315315150556 is an abundant number, since it is smaller than the sum of its proper divisors (158424411291300).

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

77315315150556 is a wasteful number, since it uses less digits than its factorization.

77315315150556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680653 (or 1680648 counting only the distinct ones).

The product of its (nonzero) digits is 8268750, while the sum is 54.

The spelling of 77315315150556 in words is "seventy-seven trillion, three hundred fifteen billion, three hundred fifteen million, one hundred fifty thousand, five hundred fifty-six".