10399856932800 has 1344 divisors, whose sum is σ = 41555520038400. Its totient is φ = 2520767692800.

The previous prime is 10399856932793. The next prime is 10399856932831. The reversal of 10399856932800 is 823965899301.

10399856932800 is a `hidden beast` number, since 1 + 0 + 39 + 9 + 8 + 569 + 32 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2216978455 + ... + 2216983145.

Almost surely, 2^{10399856932800} is an apocalyptic number.

10399856932800 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 10399856932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20777760019200).

10399856932800 is an abundant number, since it is smaller than the sum of its proper divisors (31155663105600).

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

10399856932800 is a wasteful number, since it uses less digits than its factorization.

10399856932800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4851 (or 4830 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 10399856932800 in words is "ten trillion, three hundred ninety-nine billion, eight hundred fifty-six million, nine hundred thirty-two thousand, eight hundred".