10353089864400 has 240 divisors, whose sum is σ = 33819482539584. Its totient is φ = 2706822512640.

The previous prime is 10353089864389. The next prime is 10353089864437. The reversal of 10353089864400 is 446898035301.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12039174 + ... + 12870426.

Almost surely, 2^{10353089864400} is an apocalyptic number.

10353089864400 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 10353089864400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16909741269792).

10353089864400 is an abundant number, since it is smaller than the sum of its proper divisors (23466392675184).

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

10353089864400 is a wasteful number, since it uses less digits than its factorization.

10353089864400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831478 (or 831467 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 10353089864400 in words is "ten trillion, three hundred fifty-three billion, eighty-nine million, eight hundred sixty-four thousand, four hundred".