10399656960 has 704 divisors, whose sum is σ = 46125296640. Its totient is φ = 2158755840.

The previous prime is 10399656923. The next prime is 10399656991. The reversal of 10399656960 is 6965699301.

It is a happy number.

10399656960 is a `hidden beast` number, since 10 + 3 + 9 + 9 + 6 + 569 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10399656897 and 10399656906.

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, 10643992 + ... + 10644968.

Almost surely, 2^10399656960 is an apocalyptic number.

10399656960 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 10399656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23062648320).

10399656960 is an abundant number, since it is smaller than the sum of its proper divisors (35725639680).

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

10399656960 is a wasteful number, since it uses less digits than its factorization.

10399656960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The spelling of 10399656960 in words is "ten billion, three hundred ninety-nine million, six hundred fifty-six thousand, nine hundred sixty".