25751643456 has 672 divisors, whose sum is σ = 93400473600. Its totient is φ = 6173798400.

The previous prime is 25751643419. The next prime is 25751643481. The reversal of 25751643456 is 65434615752.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73786770 + ... + 73787118.

It is an arithmetic number, because the mean of its divisors is an integer number (138988800).

Almost surely, 2^25751643456 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 25751643456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46700236800).

25751643456 is an abundant number, since it is smaller than the sum of its proper divisors (67648830144).

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

25751643456 is a wasteful number, since it uses less digits than its factorization.

25751643456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 426 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 48.

The spelling of 25751643456 in words is "twenty-five billion, seven hundred fifty-one million, six hundred forty-three thousand, four hundred fifty-six".