25855384464 has 320 divisors, whose sum is σ = 91663022080. Its totient is φ = 6794979840.

The previous prime is 25855384417. The next prime is 25855384493. The reversal of 25855384464 is 46448355852.

25855384464 is a `hidden beast` number, since 2 + 5 + 8 + 5 + 538 + 44 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 25855384464.

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, 13011279 + ... + 13013265.

It is an arithmetic number, because the mean of its divisors is an integer number (286446944).

Almost surely, 2^25855384464 is an apocalyptic number.

25855384464 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 25855384464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45831511040).

25855384464 is an abundant number, since it is smaller than the sum of its proper divisors (65807637616).

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

25855384464 is a wasteful number, since it uses less digits than its factorization.

25855384464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355 (or 2343 counting only the distinct ones).

The product of its digits is 18432000, while the sum is 54.

The spelling of 25855384464 in words is "twenty-five billion, eight hundred fifty-five million, three hundred eighty-four thousand, four hundred sixty-four".