10387290880 has 144 divisors (see below), whose sum is σ = 26337921120. Its totient is φ = 3914072064.

The previous prime is 10387290871. The next prime is 10387290911. The reversal of 10387290880 is 8809278301.

It is a self number, because there is not a number n which added to its sum of digits gives 10387290880.

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, 4692654 + ... + 4694866.

It is an arithmetic number, because the mean of its divisors is an integer number (182902230).

Almost surely, 2^10387290880 is an apocalyptic number.

10387290880 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 10387290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13168960560).

10387290880 is an abundant number, since it is smaller than the sum of its proper divisors (15950630240).

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

10387290880 is a wasteful number, since it uses less digits than its factorization.

10387290880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 10387290880 in words is "ten billion, three hundred eighty-seven million, two hundred ninety thousand, eight hundred eighty".