78569856000 has 528 divisors, whose sum is σ = 285311646048. Its totient is φ = 20791296000.

The previous prime is 78569855957. The next prime is 78569856007. The reversal of 78569856000 is 65896587.

78569856000 is a `hidden beast` number, since 78 + 5 + 6 + 9 + 8 + 560 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78569856007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 277631859 + ... + 277632141.

It is an arithmetic number, because the mean of its divisors is an integer number (540362966).

Almost surely, 2^78569856000 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 78569856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142655823024).

78569856000 is an abundant number, since it is smaller than the sum of its proper divisors (206741790048).

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

78569856000 is a wasteful number, since it uses less digits than its factorization.

78569856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 78569856000 in words is "seventy-eight billion, five hundred sixty-nine million, eight hundred fifty-six thousand".