78013212160 has 240 divisors, whose sum is σ = 214478611776. Its totient is φ = 27107917824.

The previous prime is 78013212097. The next prime is 78013212169. The reversal of 78013212160 is 6121231087.

It is a super-2 number, since 2×78013212160² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78013212169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7349577 + ... + 7360183.

Almost surely, 2^78013212160 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 78013212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107239305888).

78013212160 is an abundant number, since it is smaller than the sum of its proper divisors (136465399616).

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

78013212160 is a wasteful number, since it uses less digits than its factorization.

78013212160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10673 (or 10644 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The spelling of 78013212160 in words is "seventy-eight billion, thirteen million, two hundred twelve thousand, one hundred sixty".