25546872960 has 512 divisors, whose sum is σ = 104280883200. Its totient is φ = 5789822976.

The previous prime is 25546872943. The next prime is 25546872991. The reversal of 25546872960 is 6927864552.

25546872960 is a `hidden beast` number, since 2 + 5 + 546 + 8 + 7 + 2 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 25546872897 and 25546872906.

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, 15361089 + ... + 15362751.

It is an arithmetic number, because the mean of its divisors is an integer number (203673600).

Almost surely, 2^25546872960 is an apocalyptic number.

25546872960 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 25546872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52140441600).

25546872960 is an abundant number, since it is smaller than the sum of its proper divisors (78734010240).

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

25546872960 is a wasteful number, since it uses less digits than its factorization.

25546872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 25546872960 in words is "twenty-five billion, five hundred forty-six million, eight hundred seventy-two thousand, nine hundred sixty".