25188955680 has 288 divisors, whose sum is σ = 92706405120. Its totient is φ = 5732106240.

The previous prime is 25188955679. The next prime is 25188955699. The reversal of 25188955680 is 8655988152.

It is a self number, because there is not a number n which added to its sum of digits gives 25188955680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5619040 + ... + 5623520.

It is an arithmetic number, because the mean of its divisors is an integer number (321897240).

Almost surely, 2^25188955680 is an apocalyptic number.

25188955680 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 25188955680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46353202560).

25188955680 is an abundant number, since it is smaller than the sum of its proper divisors (67517449440).

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

25188955680 is a wasteful number, since it uses less digits than its factorization.

25188955680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4752 (or 4737 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 57.

The spelling of 25188955680 in words is "twenty-five billion, one hundred eighty-eight million, nine hundred fifty-five thousand, six hundred eighty".