25188422560 has 288 divisors, whose sum is σ = 72670348800. Its totient is φ = 8215603200.

The previous prime is 25188422557. The next prime is 25188422659. The reversal of 25188422560 is 6522488152.

It is a super-2 number, since 2×25188422560² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14824591 + ... + 14826289.

It is an arithmetic number, because the mean of its divisors is an integer number (252327600).

Almost surely, 2^25188422560 is an apocalyptic number.

25188422560 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 25188422560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36335174400).

25188422560 is an abundant number, since it is smaller than the sum of its proper divisors (47481926240).

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

25188422560 is a wasteful number, since it uses less digits than its factorization.

25188422560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 43.

The spelling of 25188422560 in words is "twenty-five billion, one hundred eighty-eight million, four hundred twenty-two thousand, five hundred sixty".