10001392800 has 288 divisors, whose sum is σ = 37628841600. Its totient is φ = 2260008960.

The previous prime is 10001392789. The next prime is 10001392801. The reversal of 10001392800 is 829310001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10001392801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1491856 + ... + 1498544.

It is an arithmetic number, because the mean of its divisors is an integer number (130655700).

Almost surely, 2^10001392800 is an apocalyptic number.

10001392800 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 10001392800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18814420800).

10001392800 is an abundant number, since it is smaller than the sum of its proper divisors (27627448800).

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

10001392800 is a wasteful number, since it uses less digits than its factorization.

10001392800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6808 (or 6795 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 10001392800 in words is "ten billion, one million, three hundred ninety-two thousand, eight hundred".