10115262800 has 120 divisors (see below), whose sum is σ = 25311356160. Its totient is φ = 3880396800.

The previous prime is 10115262799. The next prime is 10115262809. The reversal of 10115262800 is 826251101.

It is a self number, because there is not a number n which added to its sum of digits gives 10115262800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10115262809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1397591 + ... + 1404809.

It is an arithmetic number, because the mean of its divisors is an integer number (210927968).

Almost surely, 2^10115262800 is an apocalyptic number.

10115262800 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 10115262800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12655678080).

10115262800 is an abundant number, since it is smaller than the sum of its proper divisors (15196093360).

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

10115262800 is a wasteful number, since it uses less digits than its factorization.

10115262800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7381 (or 7370 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The spelling of 10115262800 in words is "ten billion, one hundred fifteen million, two hundred sixty-two thousand, eight hundred".