78013233285120 has 1536 divisors, whose sum is σ = 322460611200000. Its totient is φ = 17523038748672.

The previous prime is 78013233285079. The next prime is 78013233285133. The reversal of 78013233285120 is 2158233231087.

78013233285120 is a `hidden beast` number, since 7 + 8 + 0 + 13 + 233 + 285 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 127 ways as a sum of consecutive naturals, for example, 27971756686 + ... + 27971759474.

It is an arithmetic number, because the mean of its divisors is an integer number (209935293750).

Almost surely, 2^{78013233285120} is an apocalyptic number.

78013233285120 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 78013233285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161230305600000).

78013233285120 is an abundant number, since it is smaller than the sum of its proper divisors (244447377914880).

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

78013233285120 is a wasteful number, since it uses less digits than its factorization.

78013233285120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 78013233285120 in words is "seventy-eight trillion, thirteen billion, two hundred thirty-three million, two hundred eighty-five thousand, one hundred twenty".