78679011801600 has 2160 divisors, whose sum is σ = 352519886151576. Its totient is φ = 16647192576000.

The previous prime is 78679011801553. The next prime is 78679011801619. The reversal of 78679011801600 is 610811097687.

It can be written as a sum of positive squares in 12 ways, for example, as 880684648704 + 77798327152896 = 938448^2 + 8820336^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5853650880 + ... + 5853664320.

Almost surely, 2^{78679011801600} is an apocalyptic number.

78679011801600 is a gapful number since it is divisible by the number (70) 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 78679011801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176259943075788).

78679011801600 is an abundant number, since it is smaller than the sum of its proper divisors (273840874349976).

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

78679011801600 is a wasteful number, since it uses less digits than its factorization.

78679011801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13567 (or 13536 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 78679011801600 in words is "seventy-eight trillion, six hundred seventy-nine billion, eleven million, eight hundred one thousand, six hundred".