25961357952000 has 1232 divisors, whose sum is σ = 98721006247344. Its totient is φ = 6808043520000.

The previous prime is 25961357951983. The next prime is 25961357952043. The reversal of 25961357952000 is 25975316952.

25961357952000 is a `hidden beast` number, since 2 + 5 + 9 + 6 + 13 + 579 + 52 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18187700207616 + 7773657744384 = 4264704^2 + 2788128^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5692029720 + ... + 5692034280.

Almost surely, 2^{25961357952000} is an apocalyptic number.

25961357952000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25961357952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49360503123672).

25961357952000 is an abundant number, since it is smaller than the sum of its proper divisors (72759648295344).

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

25961357952000 is an frugal number, since it uses more digits than its factorization.

25961357952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4675 (or 4632 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 25961357952000 in words is "twenty-five trillion, nine hundred sixty-one billion, three hundred fifty-seven million, nine hundred fifty-two thousand".