25813458216 has 256 divisors, whose sum is σ = 92897280000. Its totient is φ = 6449538816.

The previous prime is 25813458173. The next prime is 25813458217. The reversal of 25813458216 is 61285431852.

25813458216 is a `hidden beast` number, since 2 + 58 + 1 + 3 + 4 + 582 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (25813458217) 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 63 ways as a sum of consecutive naturals, for example, 338905 + ... + 408023.

It is an arithmetic number, because the mean of its divisors is an integer number (362880000).

Almost surely, 2^25813458216 is an apocalyptic number.

25813458216 is a gapful number since it is divisible by the number (26) 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 25813458216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46448640000).

25813458216 is an abundant number, since it is smaller than the sum of its proper divisors (67083821784).

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

25813458216 is a wasteful number, since it uses less digits than its factorization.

25813458216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69173 (or 69163 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 25813458216 in words is "twenty-five billion, eight hundred thirteen million, four hundred fifty-eight thousand, two hundred sixteen".