10887290880 has 224 divisors, whose sum is σ = 35703406368. Its totient is φ = 2831155200.

The previous prime is 10887290783. The next prime is 10887290903. The reversal of 10887290880 is 8809278801.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5037000 + ... + 5039160.

It is an arithmetic number, because the mean of its divisors is an integer number (159390207).

Almost surely, 2^10887290880 is an apocalyptic number.

10887290880 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 10887290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17851703184).

10887290880 is an abundant number, since it is smaller than the sum of its proper divisors (24816115488).

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

10887290880 is an equidigital number, since it uses as much as digits as its factorization.

10887290880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 51.

The spelling of 10887290880 in words is "ten billion, eight hundred eighty-seven million, two hundred ninety thousand, eight hundred eighty".