10324518400 has 240 divisors, whose sum is σ = 29729034720. Its totient is φ = 3479961600.

The previous prime is 10324518389. The next prime is 10324518403. The reversal of 10324518400 is 481542301.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10324518403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5464656 + ... + 5466544.

It is an arithmetic number, because the mean of its divisors is an integer number (123870978).

Almost surely, 2^10324518400 is an apocalyptic number.

10324518400 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 10324518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14864517360).

10324518400 is an abundant number, since it is smaller than the sum of its proper divisors (19404516320).

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

10324518400 is an equidigital number, since it uses as much as digits as its factorization.

10324518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 10324518400 in words is "ten billion, three hundred twenty-four million, five hundred eighteen thousand, four hundred".