78888460320000 has 1080 divisors, whose sum is σ = 290247709752000. Its totient is φ = 20595658752000.

The previous prime is 78888460319983. The next prime is 78888460320031. The reversal of 78888460320000 is 2306488887.

78888460320000 is a `hidden beast` number, since 7 + 8 + 8 + 8 + 8 + 4 + 603 + 20 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14611677301 + ... + 14611682699.

It is an arithmetic number, because the mean of its divisors is an integer number (268747879400).

Almost surely, 2^{78888460320000} 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 78888460320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145123854876000).

78888460320000 is an abundant number, since it is smaller than the sum of its proper divisors (211359249432000).

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

78888460320000 is a wasteful number, since it uses less digits than its factorization.

78888460320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5653 (or 5621 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 78888460320000 in words is "seventy-eight trillion, eight hundred eighty-eight billion, four hundred sixty million, three hundred twenty thousand".