10880262720 has 336 divisors, whose sum is σ = 38160764928. Its totient is φ = 2844979200.

The previous prime is 10880262707. The next prime is 10880262721. The reversal of 10880262720 is 2726208801.

It is a happy number.

10880262720 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 0 + 2 + 627 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10880262721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55229662 + ... + 55229858.

Almost surely, 2^10880262720 is an apocalyptic number.

10880262720 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 10880262720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19080382464).

10880262720 is an abundant number, since it is smaller than the sum of its proper divisors (27280502208).

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

10880262720 is a wasteful number, since it uses less digits than its factorization.

10880262720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 10880262720 in words is "ten billion, eight hundred eighty million, two hundred sixty-two thousand, seven hundred twenty".