25305027840 has 216 divisors, whose sum is σ = 88188216480. Its totient is φ = 6699036672.

The previous prime is 25305027829. The next prime is 25305027857. The reversal of 25305027840 is 4872050352.

25305027840 is a `hidden beast` number, since 2 + 530 + 50 + 2 + 78 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25305027795 and 25305027804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1593379 + ... + 1609181.

It is an arithmetic number, because the mean of its divisors is an integer number (408278780).

Almost surely, 2^25305027840 is an apocalyptic number.

25305027840 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 25305027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44094108240).

25305027840 is an abundant number, since it is smaller than the sum of its proper divisors (62883188640).

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

25305027840 is a wasteful number, since it uses less digits than its factorization.

25305027840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15969 (or 15952 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 25305027840 in words is "twenty-five billion, three hundred five million, twenty-seven thousand, eight hundred forty".