25451995968 has 336 divisors, whose sum is σ = 86679983104. Its totient is φ = 6987202560.

The previous prime is 25451995951. The next prime is 25451995981. The reversal of 25451995968 is 86959915452.

25451995968 is a `hidden beast` number, since 2 + 5 + 4 + 519 + 9 + 59 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 19623096 + ... + 19624392.

Almost surely, 2^25451995968 is an apocalyptic number.

25451995968 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 25451995968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43339991552).

25451995968 is an abundant number, since it is smaller than the sum of its proper divisors (61227987136).

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

25451995968 is a wasteful number, since it uses less digits than its factorization.

25451995968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1497 counting only the distinct ones).

The product of its digits is 34992000, while the sum is 63.

The spelling of 25451995968 in words is "twenty-five billion, four hundred fifty-one million, nine hundred ninety-five thousand, nine hundred sixty-eight".