25989196161600 has 2625 divisors, whose sum is σ = 118409953970957. Its totient is φ = 5590953123840.

The previous prime is 25989196161589. The next prime is 25989196161629. The reversal of 25989196161600 is 616169198952.

The square root of 25989196161600 is 5097960.

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

25989196161600 is a `hidden beast` number, since 2 + 5 + 9 + 8 + 9 + 1 + 9 + 6 + 1 + 616 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 2832004316736 + 23157191844864 = 1682856^2 + 4812192^2 .

It is a super-2 number, since 2×25989196161600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 374 ways as a sum of consecutive naturals, for example, 1528776244792 + ... + 1528776244808.

Almost surely, 2^{25989196161600} is an apocalyptic number.

25989196161600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25989196161600 is the 5097960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25989196161600

25989196161600 is an abundant number, since it is smaller than the sum of its proper divisors (92420757809357).

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

25989196161600 is an frugal number, since it uses more digits than its factorization.

25989196161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 63.

The spelling of 25989196161600 in words is "twenty-five trillion, nine hundred eighty-nine billion, one hundred ninety-six million, one hundred sixty-one thousand, six hundred".