25471726560 has 384 divisors, whose sum is σ = 103154688000. Its totient is φ = 5821549056.

The previous prime is 25471726549. The next prime is 25471726589. The reversal of 25471726560 is 6562717452.

25471726560 is a `hidden beast` number, since 2 + 54 + 7 + 17 + 26 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 2444241 + ... + 2454639.

It is an arithmetic number, because the mean of its divisors is an integer number (268632000).

Almost surely, 2^25471726560 is an apocalyptic number.

25471726560 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 25471726560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51577344000).

25471726560 is an abundant number, since it is smaller than the sum of its proper divisors (77682961440).

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

25471726560 is an equidigital number, since it uses as much as digits as its factorization.

25471726560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10442 (or 10416 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 25471726560 in words is "twenty-five billion, four hundred seventy-one million, seven hundred twenty-six thousand, five hundred sixty".