16251150400 has 63 divisors (see below), whose sum is σ = 40000538109. Its totient is φ = 6498420480.

The previous prime is 16251150371. The next prime is 16251150403. The reversal of 16251150400 is 405115261.

It is a happy number.

The square root of 16251150400 is 127480.

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., 5850414144 + 10400736256 = 76488^2 + 101984^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16251150403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5097607 + ... + 5100793.

Almost surely, 2^16251150400 is an apocalyptic number.

16251150400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16251150400 is the 127480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16251150400

16251150400 is an abundant number, since it is smaller than the sum of its proper divisors (23749387709).

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

16251150400 is an frugal number, since it uses more digits than its factorization.

16251150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6396 (or 3194 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Multiplying 16251150400 by its sum of digits (25), we get a square (406278760000 = 637400²).

16251150400 divided by its sum of digits (25) gives a square (650046016 = 25496²).

Adding to 16251150400 its reverse (405115261), we get a palindrome (16656265661).

The spelling of 16251150400 in words is "sixteen billion, two hundred fifty-one million, one hundred fifty thousand, four hundred".