10031428800 has 252 divisors, whose sum is σ = 36976020536. Its totient is φ = 2674944000.

The previous prime is 10031428747. The next prime is 10031428811. The reversal of 10031428800 is 882413001.

10031428800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 375900 + ... + 401700.

Almost surely, 2^10031428800 is an apocalyptic number.

10031428800 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 10031428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18488010268).

10031428800 is an abundant number, since it is smaller than the sum of its proper divisors (26944591736).

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

10031428800 is an equidigital number, since it uses as much as digits as its factorization.

10031428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25838 (or 25811 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 10031428800 in words is "ten billion, thirty-one million, four hundred twenty-eight thousand, eight hundred".