25460626752 has 448 divisors, whose sum is σ = 84271104000. Its totient is φ = 7472424960.

The previous prime is 25460626721. The next prime is 25460626783. The reversal of 25460626752 is 25762606452.

25460626752 is a `hidden beast` number, since 25 + 460 + 62 + 67 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (25460626721) and next prime (25460626783).

It is a junction number, because it is equal to n+sod(n) for n = 25460626698 and 25460626707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127942749 + ... + 127942947.

Almost surely, 2^25460626752 is an apocalyptic number.

25460626752 is a gapful number since it is divisible by the number (22) 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 25460626752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42135552000).

25460626752 is an abundant number, since it is smaller than the sum of its proper divisors (58810477248).

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

25460626752 is a wasteful number, since it uses less digits than its factorization.

25460626752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 25460626752 in words is "twenty-five billion, four hundred sixty million, six hundred twenty-six thousand, seven hundred fifty-two".