25772138090496 has 312 divisors, whose sum is σ = 85208241792960. Its totient is φ = 7352245813248.

The previous prime is 25772138090453. The next prime is 25772138090509. The reversal of 25772138090496 is 69409083127752.

25772138090496 is a `hidden beast` number, since 2 + 5 + 7 + 7 + 2 + 138 + 0 + 9 + 0 + 496 = 666.

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 23 ways as a sum of consecutive naturals, for example, 169977856 + ... + 170129408.

It is an arithmetic number, because the mean of its divisors is an integer number (273103339080).

It is a 1-persistent number, because it is pandigital, but 2⋅25772138090496 = 51544276180992 is not.

Almost surely, 2^{25772138090496} 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 25772138090496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42604120896480).

25772138090496 is an abundant number, since it is smaller than the sum of its proper divisors (59436103702464).

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

25772138090496 is a wasteful number, since it uses less digits than its factorization.

25772138090496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152249 (or 152224 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 25772138090496 in words is "twenty-five trillion, seven hundred seventy-two billion, one hundred thirty-eight million, ninety thousand, four hundred ninety-six".