25720072560 has 1440 divisors, whose sum is σ = 117564475392. Its totient is φ = 5173217280.

The previous prime is 25720072519. The next prime is 25720072571. The reversal of 25720072560 is 6527002752.

25720072560 is a `hidden beast` number, since 2 + 5 + 7 + 20 + 0 + 72 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 383881647 + ... + 383881713.

Almost surely, 2^25720072560 is an apocalyptic number.

25720072560 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 25720072560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58782237696).

25720072560 is an abundant number, since it is smaller than the sum of its proper divisors (91844402832).

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

25720072560 is a wasteful number, since it uses less digits than its factorization.

25720072560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 25720072560 in words is "twenty-five billion, seven hundred twenty million, seventy-two thousand, five hundred sixty".