78215819996160 has 3520 divisors, whose sum is σ = 368356618967040. Its totient is φ = 15387611627520.

The previous prime is 78215819996147. The next prime is 78215819996179. The reversal of 78215819996160 is 6169991851287.

78215819996160 is a `hidden beast` number, since 7 + 8 + 21 + 581 + 9 + 9 + 9 + 6 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3520).

It is a super-2 number, since 2×78215819996160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 80057133592 + ... + 80057134568.

It is an arithmetic number, because the mean of its divisors is an integer number (104646766752).

Almost surely, 2^{78215819996160} is an apocalyptic number.

78215819996160 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 78215819996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184178309483520).

78215819996160 is an abundant number, since it is smaller than the sum of its proper divisors (290140798970880).

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

78215819996160 is a wasteful number, since it uses less digits than its factorization.

78215819996160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 72.

The spelling of 78215819996160 in words is "seventy-eight trillion, two hundred fifteen billion, eight hundred nineteen million, nine hundred ninety-six thousand, one hundred sixty".