25720104960 has 480 divisors, whose sum is σ = 100605304800. Its totient is φ = 6232965120.

The previous prime is 25720104941. The next prime is 25720104961. The reversal of 25720104960 is 6940102752.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (25720104961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9122431 + ... + 9125249.

It is an arithmetic number, because the mean of its divisors is an integer number (209594385).

Almost surely, 2^25720104960 is an apocalyptic number.

25720104960 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 25720104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50302652400).

25720104960 is an abundant number, since it is smaller than the sum of its proper divisors (74885199840).

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

25720104960 is a wasteful number, since it uses less digits than its factorization.

25720104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 25720104960 in words is "twenty-five billion, seven hundred twenty million, one hundred four thousand, nine hundred sixty".