10882387560 has 256 divisors, whose sum is σ = 38701670400. Its totient is φ = 2418508800.

The previous prime is 10882387543. The next prime is 10882387589. The reversal of 10882387560 is 6578328801.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 770482 + ... + 784478.

It is an arithmetic number, because the mean of its divisors is an integer number (151178400).

Almost surely, 2^10882387560 is an apocalyptic number.

10882387560 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 10882387560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19350835200).

10882387560 is an abundant number, since it is smaller than the sum of its proper divisors (27819282840).

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

10882387560 is a wasteful number, since it uses less digits than its factorization.

10882387560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14072 (or 14068 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 10882387560 in words is "ten billion, eight hundred eighty-two million, three hundred eighty-seven thousand, five hundred sixty".