25796621606112 has 960 divisors, whose sum is σ = 93033498184704. Its totient is φ = 6851967344640.

The previous prime is 25796621606111. The next prime is 25796621606113. The reversal of 25796621606112 is 21160612669752.

25796621606112 is a `hidden beast` number, since 2 + 5 + 7 + 9 + 6 + 6 + 2 + 16 + 0 + 611 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (25796621606111) and next prime (25796621606113).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25796621606111) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4739409663 + ... + 4739415105.

Almost surely, 2^{25796621606112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25796621606112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46516749092352).

25796621606112 is an abundant number, since it is smaller than the sum of its proper divisors (67236876578592).

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

25796621606112 is a wasteful number, since it uses less digits than its factorization.

25796621606112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5813 (or 5796 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 25796621606112 in words is "twenty-five trillion, seven hundred ninety-six billion, six hundred twenty-one million, six hundred six thousand, one hundred twelve".