77988983538096 has 240 divisors, whose sum is σ = 222203085904800. Its totient is φ = 25531569487872.

The previous prime is 77988983538017. The next prime is 77988983538119. The reversal of 77988983538096 is 69083538988977.

77988983538096 is a `hidden beast` number, since 7 + 7 + 9 + 8 + 8 + 98 + 353 + 80 + 96 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 77988983537997 and 77988983538015.

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, 1070373315 + ... + 1070446173.

It is an arithmetic number, because the mean of its divisors is an integer number (925846191270).

Almost surely, 2^{77988983538096} 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 77988983538096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111101542952400).

77988983538096 is an abundant number, since it is smaller than the sum of its proper divisors (144214102366704).

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

77988983538096 is a wasteful number, since it uses less digits than its factorization.

77988983538096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73556 (or 73547 counting only the distinct ones).

The product of its (nonzero) digits is 39504568320, while the sum is 90.

The spelling of 77988983538096 in words is "seventy-seven trillion, nine hundred eighty-eight billion, nine hundred eighty-three million, five hundred thirty-eight thousand, ninety-six".