25656327840 has 384 divisors, whose sum is σ = 98227987200. Its totient is φ = 5542871040.

The previous prime is 25656327793. The next prime is 25656327859. The reversal of 25656327840 is 4872365652.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 25656327840.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1984116 + ... + 1997004.

It is an arithmetic number, because the mean of its divisors is an integer number (255802050).

Almost surely, 2^25656327840 is an apocalyptic number.

25656327840 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 25656327840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49113993600).

25656327840 is an abundant number, since it is smaller than the sum of its proper divisors (72571659360).

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

25656327840 is a wasteful number, since it uses less digits than its factorization.

25656327840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12960 (or 12952 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 25656327840 in words is "twenty-five billion, six hundred fifty-six million, three hundred twenty-seven thousand, eight hundred forty".