25713730560 has 704 divisors, whose sum is σ = 101683169280. Its totient is φ = 5414584320.

The previous prime is 25713730529. The next prime is 25713730583. The reversal of 25713730560 is 6503731752.

25713730560 = T₁₂₇₈₉ + T₁₂₇₉₀ + ... + T₁₃₀₉₅.

It is a super-2 number, since 2×25713730560² (a number of 22 digits) contains 22 as substring.

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, 83757927 + ... + 83758233.

It is an arithmetic number, because the mean of its divisors is an integer number (144436320).

Almost surely, 2^25713730560 is an apocalyptic number.

25713730560 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 25713730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50841584640).

25713730560 is an abundant number, since it is smaller than the sum of its proper divisors (75969438720).

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

25713730560 is a wasteful number, since it uses less digits than its factorization.

25713730560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 39.

The spelling of 25713730560 in words is "twenty-five billion, seven hundred thirteen million, seven hundred thirty thousand, five hundred sixty".