25131369820788 has 240 divisors, whose sum is σ = 82297864416768. Its totient is φ = 6496690536000.

The previous prime is 25131369820751. The next prime is 25131369820873. The reversal of 25131369820788 is 88702896313152.

25131369820788 is a `hidden beast` number, since 2 + 51 + 313 + 69 + 8 + 207 + 8 + 8 = 666.

It is a super-4 number, since 4×25131369820788⁴ (a number of 55 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2876943 + ... + 7651113.

Almost surely, 2^{25131369820788} is an apocalyptic number.

25131369820788 is a gapful number since it is divisible by the number (28) 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 25131369820788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41148932208384).

25131369820788 is an abundant number, since it is smaller than the sum of its proper divisors (57166494595980).

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

25131369820788 is a wasteful number, since it uses less digits than its factorization.

25131369820788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4774416 (or 4774405 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 25131369820788 in words is "twenty-five trillion, one hundred thirty-one billion, three hundred sixty-nine million, eight hundred twenty thousand, seven hundred eighty-eight".