25661032960 has 160 divisors (see below), whose sum is σ = 62415505152. Its totient is φ = 10117447680.

The previous prime is 25661032937. The next prime is 25661032963. The reversal of 25661032960 is 6923016652.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×25661032960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (25661032963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82511205 + ... + 82511515.

Almost surely, 2^25661032960 is an apocalyptic number.

25661032960 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 25661032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31207752576).

25661032960 is an abundant number, since it is smaller than the sum of its proper divisors (36754472192).

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

25661032960 is a wasteful number, since it uses less digits than its factorization.

25661032960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 25661032960 in words is "twenty-five billion, six hundred sixty-one million, thirty-two thousand, nine hundred sixty".