15505230400 has 189 divisors, whose sum is σ = 42084990633. Its totient is φ = 5618342400.

The previous prime is 15505230371. The next prime is 15505230427. The reversal of 15505230400 is 403250551.

The square root of 15505230400 is 124520.

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

It can be written as a sum of positive squares in only one way, i.e., 5581882944 + 9923347456 = 74712^2 + 99616^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 54788659 + ... + 54788941.

Almost surely, 2^15505230400 is an apocalyptic number.

15505230400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15505230400 is the 124520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15505230400

15505230400 is an abundant number, since it is smaller than the sum of its proper divisors (26579760233).

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

15505230400 is an equidigital number, since it uses as much as digits as its factorization.

15505230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

Multiplying 15505230400 by its sum of digits (25), we get a square (387630760000 = 622600²).

15505230400 divided by its sum of digits (25) gives a square (620209216 = 24904²).

Adding to 15505230400 its reverse (403250551), we get a palindrome (15908480951).

The spelling of 15505230400 in words is "fifteen billion, five hundred five million, two hundred thirty thousand, four hundred".