25863360264 has 320 divisors, whose sum is σ = 85993712640. Its totient is φ = 7106641920.

The previous prime is 25863360241. The next prime is 25863360277. The reversal of 25863360264 is 46206336852.

It is a happy number.

25863360264 is a `hidden beast` number, since 2 + 5 + 8 + 6 + 33 + 602 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27138412 + ... + 27139364.

It is an arithmetic number, because the mean of its divisors is an integer number (268730352).

Almost surely, 2^25863360264 is an apocalyptic number.

25863360264 is a gapful number since it is divisible by the number (24) 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 25863360264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42996856320).

25863360264 is an abundant number, since it is smaller than the sum of its proper divisors (60130352376).

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

25863360264 is a wasteful number, since it uses less digits than its factorization.

25863360264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 25863360264 in words is "twenty-five billion, eight hundred sixty-three million, three hundred sixty thousand, two hundred sixty-four".