25517368320 has 264 divisors, whose sum is σ = 83062085184. Its totient is φ = 6685507584.

The previous prime is 25517368313. The next prime is 25517368333. The reversal of 25517368320 is 2386371552.

It is a happy number.

It is a super-2 number, since 2×25517368320² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 200924097 + ... + 200924223.

Almost surely, 2^25517368320 is an apocalyptic number.

25517368320 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 25517368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41531042592).

25517368320 is an abundant number, since it is smaller than the sum of its proper divisors (57544716864).

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

25517368320 is a wasteful number, since it uses less digits than its factorization.

25517368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 25517368320 in words is "twenty-five billion, five hundred seventeen million, three hundred sixty-eight thousand, three hundred twenty".