10320890400 has 576 divisors, whose sum is σ = 40126181760. Its totient is φ = 2582876160.

The previous prime is 10320890389. The next prime is 10320890443. The reversal of 10320890400 is 409802301.

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 95 ways as a sum of consecutive naturals, for example, 29743027 + ... + 29743373.

It is an arithmetic number, because the mean of its divisors is an integer number (69663510).

Almost surely, 2^10320890400 is an apocalyptic number.

10320890400 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 10320890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20063090880).

10320890400 is an abundant number, since it is smaller than the sum of its proper divisors (29805291360).

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

10320890400 is an equidigital number, since it uses as much as digits as its factorization.

10320890400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10320890400 in words is "ten billion, three hundred twenty million, eight hundred ninety thousand, four hundred".