78106312514160 has 180 divisors, whose sum is σ = 305132671015848. Its totient is φ = 17852871423744.

The previous prime is 78106312514149. The next prime is 78106312514161. The reversal of 78106312514160 is 6141521360187.

78106312514160 is a `hidden beast` number, since 7 + 8 + 1 + 0 + 63 + 12 + 514 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×78106312514160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78106312514161) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1106913594 + ... + 1106984153.

Almost surely, 2^{78106312514160} is an apocalyptic number.

78106312514160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

78106312514160 is an abundant number, since it is smaller than the sum of its proper divisors (227026358501688).

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

78106312514160 is a wasteful number, since it uses less digits than its factorization.

78106312514160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213897780 (or 2213897764 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 78106312514160 in words is "seventy-eight trillion, one hundred six billion, three hundred twelve million, five hundred fourteen thousand, one hundred sixty".