25601040375768 has 2048 divisors, whose sum is σ = 92658069504000. Its totient is φ = 6434049024000.

The previous prime is 25601040375767. The next prime is 25601040375769. The reversal of 25601040375768 is 86757304010652.

25601040375768 is a `hidden beast` number, since 2 + 5 + 60 + 1 + 0 + 4 + 0 + 3 + 7 + 576 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (25601040375767) and next prime (25601040375769).

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 (25601040375763) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 195427789063 + ... + 195427789193.

It is an arithmetic number, because the mean of its divisors is an integer number (45243198000).

Almost surely, 2^{25601040375768} 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 25601040375768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46329034752000).

25601040375768 is an abundant number, since it is smaller than the sum of its proper divisors (67057029128232).

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

25601040375768 is a wasteful number, since it uses less digits than its factorization.

25601040375768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 25601040375768 in words is "twenty-five trillion, six hundred one billion, forty million, three hundred seventy-five thousand, seven hundred sixty-eight".