25503835968 has 504 divisors, whose sum is σ = 83260603608. Its totient is φ = 7453016064.

The previous prime is 25503835933. The next prime is 25503836003. The reversal of 25503835968 is 86953830552.

25503835968 is a `hidden beast` number, since 2 + 5 + 503 + 83 + 59 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (25503835933) and next prime (25503836003).

It can be written as a sum of positive squares in 12 ways, for example, as 6907604544 + 18596231424 = 83112^2 + 136368^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 262926096 + ... + 262926192.

Almost surely, 2^25503835968 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 25503835968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41630301804).

25503835968 is an abundant number, since it is smaller than the sum of its proper divisors (57756767640).

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

25503835968 is a wasteful number, since it uses less digits than its factorization.

25503835968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 25503835968 in words is "twenty-five billion, five hundred three million, eight hundred thirty-five thousand, nine hundred sixty-eight".