78517939032000 has 2240 divisors, whose sum is σ = 332379948700800. Its totient is φ = 18126913536000.

The previous prime is 78517939031989. The next prime is 78517939032041. The reversal of 78517939032000 is 23093971587.

78517939032000 is a `hidden beast` number, since 7 + 8 + 517 + 9 + 3 + 90 + 32 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 49979591215 + ... + 49979592785.

It is an arithmetic number, because the mean of its divisors is an integer number (148383905670).

Almost surely, 2^{78517939032000} 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 78517939032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166189974350400).

78517939032000 is an abundant number, since it is smaller than the sum of its proper divisors (253862009668800).

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

78517939032000 is a wasteful number, since it uses less digits than its factorization.

78517939032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 78517939032000 in words is "seventy-eight trillion, five hundred seventeen billion, nine hundred thirty-nine million, thirty-two thousand".