78168140160 has 512 divisors, whose sum is σ = 288495820800. Its totient is φ = 17803468800.

The previous prime is 78168140137. The next prime is 78168140177. The reversal of 78168140160 is 6104186187.

It is a super-2 number, since 2×78168140160² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52566937 + ... + 52568423.

It is an arithmetic number, because the mean of its divisors is an integer number (563468400).

Almost surely, 2^78168140160 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 78168140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144247910400).

78168140160 is an abundant number, since it is smaller than the sum of its proper divisors (210327680640).

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

78168140160 is a wasteful number, since it uses less digits than its factorization.

78168140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 78168140160 in words is "seventy-eight billion, one hundred sixty-eight million, one hundred forty thousand, one hundred sixty".