15745230400 has 63 divisors (see below), whose sum is σ = 38755461859. Its totient is φ = 6296084480.

The previous prime is 15745230329. The next prime is 15745230419. The reversal of 15745230400 is 403254751.

The square root of 15745230400 is 125480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5134582336 + 10610648064 = 71656^2 + 103008^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5017632 + ... + 5020768.

Almost surely, 2^15745230400 is an apocalyptic number.

15745230400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15745230400 is the 125480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15745230400

15745230400 is an abundant number, since it is smaller than the sum of its proper divisors (23010231459).

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

15745230400 is an frugal number, since it uses more digits than its factorization.

15745230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6296 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The spelling of 15745230400 in words is "fifteen billion, seven hundred forty-five million, two hundred thirty thousand, four hundred".