78526255680 has 672 divisors, whose sum is σ = 292453649280. Its totient is φ = 19830988800.

The previous prime is 78526255679. The next prime is 78526255693. The reversal of 78526255680 is 8655262587.

78526255680 is a `hidden beast` number, since 7 + 8 + 5 + 2 + 6 + 2 + 556 + 80 = 666.

It is a super-2 number, since 2×78526255680² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 733890187 + ... + 733890293.

Almost surely, 2^78526255680 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 78526255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146226824640).

78526255680 is an abundant number, since it is smaller than the sum of its proper divisors (213927393600).

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

78526255680 is a wasteful number, since it uses less digits than its factorization.

78526255680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 78526255680 in words is "seventy-eight billion, five hundred twenty-six million, two hundred fifty-five thousand, six hundred eighty".