25945868160 has 576 divisors, whose sum is σ = 96122164320. Its totient is φ = 6691590144.

The previous prime is 25945868149. The next prime is 25945868167. The reversal of 25945868160 is 6186854952.

25945868160 is a `hidden beast` number, since 2 + 59 + 4 + 586 + 8 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×25945868160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 25945868097 and 25945868106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25945868167) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 155364397 + ... + 155364563.

Almost surely, 2^25945868160 is an apocalyptic number.

25945868160 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 25945868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48061082160).

25945868160 is an abundant number, since it is smaller than the sum of its proper divisors (70176296160).

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

25945868160 is an frugal number, since it uses more digits than its factorization.

25945868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 25945868160 in words is "twenty-five billion, nine hundred forty-five million, eight hundred sixty-eight thousand, one hundred sixty".