10013932800 has 648 divisors, whose sum is σ = 38194805376. Its totient is φ = 2594488320.

The previous prime is 10013932757. The next prime is 10013932823. The reversal of 10013932800 is 823931001.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73094332 + ... + 73094468.

Almost surely, 2^10013932800 is an apocalyptic number.

10013932800 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 10013932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19097402688).

10013932800 is an abundant number, since it is smaller than the sum of its proper divisors (28180872576).

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

10013932800 is an equidigital number, since it uses as much as digits as its factorization.

10013932800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 10013932800 in words is "ten billion, thirteen million, nine hundred thirty-two thousand, eight hundred".