25996327846272 has 768 divisors, whose sum is σ = 88405162560000. Its totient is φ = 7179874172928.

The previous prime is 25996327846259. The next prime is 25996327846303. The reversal of 25996327846272 is 27264872369952.

25996327846272 is a `hidden beast` number, since 2 + 5 + 9 + 96 + 3 + 2 + 7 + 8 + 462 + 72 = 666.

It is a super-2 number, since 2×25996327846272² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 25996327846272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7104761179 + ... + 7104764837.

It is an arithmetic number, because the mean of its divisors is an integer number (115110888750).

Almost surely, 2^{25996327846272} 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 25996327846272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44202581280000).

25996327846272 is an abundant number, since it is smaller than the sum of its proper divisors (62408834713728).

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

25996327846272 is a wasteful number, since it uses less digits than its factorization.

25996327846272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3991 (or 3976 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 25996327846272 in words is "twenty-five trillion, nine hundred ninety-six billion, three hundred twenty-seven million, eight hundred forty-six thousand, two hundred seventy-two".