10296003284400 has 120 divisors (see below), whose sum is σ = 32983458990480. Its totient is φ = 2745440337920.

The previous prime is 10296003284383. The next prime is 10296003284401. The reversal of 10296003284400 is 448230069201.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (10296003284401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21032824 + ... + 21516776.

It is an arithmetic number, because the mean of its divisors is an integer number (274862158254).

Almost surely, 2^{10296003284400} is an apocalyptic number.

10296003284400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10296003284400 is an abundant number, since it is smaller than the sum of its proper divisors (22687455706080).

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

10296003284400 is a wasteful number, since it uses less digits than its factorization.

10296003284400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501703 (or 501692 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 10296003284400 in words is "ten trillion, two hundred ninety-six billion, three million, two hundred eighty-four thousand, four hundred".