25511968087920 has 320 divisors, whose sum is σ = 90225135221760. Its totient is φ = 6622291565568.

The previous prime is 25511968087769. The next prime is 25511968087927. The reversal of 25511968087920 is 2978086911552.

25511968087920 is a `hidden beast` number, since 2 + 5 + 511 + 96 + 8 + 0 + 8 + 7 + 9 + 20 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25511968087927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26745109 + ... + 27682571.

It is an arithmetic number, because the mean of its divisors is an integer number (281953547568).

Almost surely, 2^{25511968087920} is an apocalyptic number.

25511968087920 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 25511968087920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45112567610880).

25511968087920 is an abundant number, since it is smaller than the sum of its proper divisors (64713167133840).

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

25511968087920 is a wasteful number, since it uses less digits than its factorization.

25511968087920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937821 (or 937809 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 25511968087920 in words is "twenty-five trillion, five hundred eleven billion, nine hundred sixty-eight million, eighty-seven thousand, nine hundred twenty".