652878878256 has 480 divisors, whose sum is σ = 2224504289280. Its totient is φ = 176471654400.

The previous prime is 652878878251. The next prime is 652878878269.

652878878256 is a `hidden beast` number, since 6 + 528 + 7 + 8 + 8 + 78 + 25 + 6 = 666.

652878878256 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (652878878251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34510656 + ... + 34529568.

It is an arithmetic number, because the mean of its divisors is an integer number (4634383936).

Almost surely, 2^652878878256 is an apocalyptic number.

652878878256 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 652878878256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112252144640).

652878878256 is an abundant number, since it is smaller than the sum of its proper divisors (1571625411024).

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

652878878256 is a wasteful number, since it uses less digits than its factorization.

652878878256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19025 (or 19016 counting only the distinct ones).

The product of its digits is 722534400, while the sum is 72.

The spelling of 652878878256 in words is "six hundred fifty-two billion, eight hundred seventy-eight million, eight hundred seventy-eight thousand, two hundred fifty-six".