25044961536 has 405 divisors, whose sum is σ = 87428972169. Its totient is φ = 7110125568.

The previous prime is 25044961531. The next prime is 25044961577. The reversal of 25044961536 is 63516944052.

The square root of 25044961536 is 158256.

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

25044961536 is a `hidden beast` number, since 2 + 5 + 0 + 4 + 496 + 153 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7341062400 + 17703899136 = 85680^2 + 133056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 25044961491 and 25044961500.

It is not an unprimeable number, because it can be changed into a prime (25044961531) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 159521970 + ... + 159522126.

Almost surely, 2^25044961536 is an apocalyptic number.

25044961536 is the 158256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25044961536

25044961536 is an abundant number, since it is smaller than the sum of its proper divisors (62384010633).

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

25044961536 is an frugal number, since it uses more digits than its factorization.

25044961536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 25044961536 in words is "twenty-five billion, forty-four million, nine hundred sixty-one thousand, five hundred thirty-six".