10226878560 has 168 divisors, whose sum is σ = 36225342720. Its totient is φ = 2727136512.

The previous prime is 10226878511. The next prime is 10226878577. The reversal of 10226878560 is 6587862201.

10226878560 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 6 + 87 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 72801 + ... + 160479.

It is an arithmetic number, because the mean of its divisors is an integer number (215627040).

Almost surely, 2^10226878560 is an apocalyptic number.

10226878560 is a gapful number since it is divisible by the number (10) 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 10226878560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18112671360).

10226878560 is an abundant number, since it is smaller than the sum of its proper divisors (25998464160).

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

10226878560 is an frugal number, since it uses more digits than its factorization.

10226878560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87712 (or 87689 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10226878560 in words is "ten billion, two hundred twenty-six million, eight hundred seventy-eight thousand, five hundred sixty".