25711560 has 256 divisors, whose sum is σ = 103680000. Its totient is φ = 5536512.

The previous prime is 25711547. The next prime is 25711571. The reversal of 25711560 is 6511752.

It is a super-2 number, since 2×25711560² = 1322168635267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 143551 + ... + 143729.

It is an arithmetic number, because the mean of its divisors is an integer number (405000).

Almost surely, 2^25711560 is an apocalyptic number.

25711560 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 25711560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51840000).

25711560 is an abundant number, since it is smaller than the sum of its proper divisors (77968440).

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

25711560 is a wasteful number, since it uses less digits than its factorization.

25711560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 25711560 is about 5070.6567621956. The cubic root of 25711560 is about 295.1500146710.

The spelling of 25711560 in words is "twenty-five million, seven hundred eleven thousand, five hundred sixty".