78586312896 has 1008 divisors, whose sum is σ = 306776774304. Its totient is φ = 18988204032.

The previous prime is 78586312877. The next prime is 78586312907. The reversal of 78586312896 is 69821368587.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (34836480) is a multiple of the sum of its prime divisors (378).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 268212526 + ... + 268212818.

It is an arithmetic number, because the mean of its divisors is an integer number (304342038).

Almost surely, 2^78586312896 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 78586312896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153388387152).

78586312896 is an abundant number, since it is smaller than the sum of its proper divisors (228190461408).

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

78586312896 is a wasteful number, since it uses less digits than its factorization.

78586312896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 378 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 78586312896 in words is "seventy-eight billion, five hundred eighty-six million, three hundred twelve thousand, eight hundred ninety-six".