78996350160 has 1920 divisors, whose sum is σ = 374376038400. Its totient is φ = 14452162560.

The previous prime is 78996350149. The next prime is 78996350239. The reversal of 78996350160 is 6105369987.

78996350160 is a `hidden beast` number, since 78 + 9 + 9 + 6 + 3 + 501 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 78996350097 and 78996350106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 887599396 + ... + 887599484.

It is an arithmetic number, because the mean of its divisors is an integer number (194987520).

Almost surely, 2^78996350160 is an apocalyptic number.

78996350160 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 78996350160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187188019200).

78996350160 is an abundant number, since it is smaller than the sum of its proper divisors (295379688240).

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

78996350160 is a wasteful number, since it uses less digits than its factorization.

78996350160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 78996350160 in words is "seventy-eight billion, nine hundred ninety-six million, three hundred fifty thousand, one hundred sixty".