878130579456 has 288 divisors, whose sum is σ = 2891972636280. Its totient is φ = 254299078656.

The previous prime is 878130579427. The next prime is 878130579493. The reversal of 878130579456 is 654975031878.

878130579456 is a `hidden beast` number, since 8 + 7 + 8 + 1 + 3 + 0 + 579 + 4 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 834372633600 + 43757945856 = 913440^2 + 209184^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×878130579456² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 878130579393 and 878130579402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3965686 + ... + 4181258.

Almost surely, 2^878130579456 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 878130579456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445986318140).

878130579456 is an abundant number, since it is smaller than the sum of its proper divisors (2013842056824).

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

878130579456 is a wasteful number, since it uses less digits than its factorization.

878130579456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215631 (or 215608 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 878130579456 in words is "eight hundred seventy-eight billion, one hundred thirty million, five hundred seventy-nine thousand, four hundred fifty-six".