10262512560 has 160 divisors (see below), whose sum is σ = 33549995520. Its totient is φ = 2587852800.

The previous prime is 10262512549. The next prime is 10262512591. The reversal of 10262512560 is 6521526201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2921205 + ... + 2924715.

It is an arithmetic number, because the mean of its divisors is an integer number (209687472).

Almost surely, 2^10262512560 is an apocalyptic number.

10262512560 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 10262512560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16774997760).

10262512560 is an abundant number, since it is smaller than the sum of its proper divisors (23287482960).

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

10262512560 is a wasteful number, since it uses less digits than its factorization.

10262512560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4187 (or 4181 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 10262512560 in words is "ten billion, two hundred sixty-two million, five hundred twelve thousand, five hundred sixty".