78013497600000 has 2016 divisors, whose sum is σ = 305456188302720. Its totient is φ = 19871723520000.

The previous prime is 78013497599971. The next prime is 78013497600061. The reversal of 78013497600000 is 679431087.

78013497600000 is a `hidden beast` number, since 7 + 8 + 0 + 1 + 34 + 9 + 7 + 600 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×78013497600000² (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 an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 107308799637 + ... + 107308800363.

It is an arithmetic number, because the mean of its divisors is an integer number (151515966420).

Almost surely, 2^{78013497600000} 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 78013497600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152728094151360).

78013497600000 is an abundant number, since it is smaller than the sum of its proper divisors (227442690702720).

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

78013497600000 is an frugal number, since it uses more digits than its factorization.

78013497600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 78013497600000 in words is "seventy-eight trillion, thirteen billion, four hundred ninety-seven million, six hundred thousand".