25965631351296 has 3600 divisors, whose sum is σ = 109170367336800. Its totient is φ = 6071914856448.

The previous prime is 25965631351237. The next prime is 25965631351349. The reversal of 25965631351296 is 69215313656952.

25965631351296 is a `hidden beast` number, since 2 + 5 + 9 + 6 + 563 + 13 + 51 + 2 + 9 + 6 = 666.

It is a super-2 number, since 2×25965631351296² (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).

Its product of digits (78732000) is a multiple of the sum of its prime divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 145059392935 + ... + 145059393113.

It is an arithmetic number, because the mean of its divisors is an integer number (30325102038).

Almost surely, 2^{25965631351296} is an apocalyptic number.

25965631351296 is a gapful number since it is divisible by the number (26) 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 25965631351296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54585183668400).

25965631351296 is an abundant number, since it is smaller than the sum of its proper divisors (83204735985504).

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

25965631351296 is a wasteful number, since it uses less digits than its factorization.

25965631351296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 240 counting only the distinct ones).

The product of its digits is 78732000, while the sum is 63.

The spelling of 25965631351296 in words is "twenty-five trillion, nine hundred sixty-five billion, six hundred thirty-one million, three hundred fifty-one thousand, two hundred ninety-six".