25953143328 has 576 divisors, whose sum is σ = 93971404800. Its totient is φ = 6623907840.

The previous prime is 25953143317. The next prime is 25953143353. The reversal of 25953143328 is 82334135952.

25953143328 is a `hidden beast` number, since 2 + 5 + 9 + 5 + 314 + 3 + 328 = 666.

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, 78408123 + ... + 78408453.

It is an arithmetic number, because the mean of its divisors is an integer number (163144800).

Almost surely, 2^25953143328 is an apocalyptic number.

25953143328 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 25953143328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46985702400).

25953143328 is an abundant number, since it is smaller than the sum of its proper divisors (68018261472).

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

25953143328 is a wasteful number, since it uses less digits than its factorization.

25953143328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 474 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 25953143328 in words is "twenty-five billion, nine hundred fifty-three million, one hundred forty-three thousand, three hundred twenty-eight".