10399884960 has 192 divisors, whose sum is σ = 34200714240. Its totient is φ = 2653347840.

The previous prime is 10399884959. The next prime is 10399884961. The reversal of 10399884960 is 6948899301.

It is an interprime number because it is at equal distance from previous prime (10399884959) and next prime (10399884961).

It is a self number, because there is not a number n which added to its sum of digits gives 10399884960.

It is not an unprimeable number, because it can be changed into a prime (10399884961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1320394 + ... + 1328246.

It is an arithmetic number, because the mean of its divisors is an integer number (178128720).

Almost surely, 2^10399884960 is an apocalyptic number.

10399884960 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 10399884960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17100357120).

10399884960 is an abundant number, since it is smaller than the sum of its proper divisors (23800829280).

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

10399884960 is a wasteful number, since it uses less digits than its factorization.

10399884960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7991 (or 7983 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 57.

The spelling of 10399884960 in words is "ten billion, three hundred ninety-nine million, eight hundred eighty-four thousand, nine hundred sixty".