25097264160 has 384 divisors, whose sum is σ = 85382035200. Its totient is φ = 6177669120.

The previous prime is 25097264149. The next prime is 25097264183. The reversal of 25097264160 is 6146279052.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109594926 + ... + 109595154.

It is an arithmetic number, because the mean of its divisors is an integer number (222349050).

Almost surely, 2^25097264160 is an apocalyptic number.

25097264160 is a gapful number since it is divisible by the number (20) 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 25097264160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42691017600).

25097264160 is an abundant number, since it is smaller than the sum of its proper divisors (60284771040).

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

25097264160 is a wasteful number, since it uses less digits than its factorization.

25097264160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 25097264160 in words is "twenty-five billion, ninety-seven million, two hundred sixty-four thousand, one hundred sixty".