10244096000 has 256 divisors, whose sum is σ = 26621889840. Its totient is φ = 3932160000.

The previous prime is 10244095999. The next prime is 10244096003. The reversal of 10244096000 is 69044201.

It can be written as a sum of positive squares in 8 ways, for example, as 1584676864 + 8659419136 = 39808^2 + 93056^2 .

It is a tau number, because it is divible by the number of its divisors (256).

It is not an unprimeable number, because it can be changed into a prime (10244096003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167935970 + ... + 167936030.

Almost surely, 2^10244096000 is an apocalyptic number.

10244096000 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 10244096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13310944920).

10244096000 is an abundant number, since it is smaller than the sum of its proper divisors (16377793840).

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

10244096000 is an frugal number, since it uses more digits than its factorization.

10244096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 10244096000 in words is "ten billion, two hundred forty-four million, ninety-six thousand".