25960206481920 has 1280 divisors, whose sum is σ = 96279116313600. Its totient is φ = 6708956626944.

The previous prime is 25960206481907. The next prime is 25960206481921. The reversal of 25960206481920 is 2918460206952.

25960206481920 is a `hidden beast` number, since 2 + 5 + 9 + 602 + 0 + 6 + 4 + 8 + 1 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (25960206481921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26409161749 + ... + 26409162731.

It is an arithmetic number, because the mean of its divisors is an integer number (75218059620).

Almost surely, 2^{25960206481920} is an apocalyptic number.

25960206481920 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 25960206481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48139558156800).

25960206481920 is an abundant number, since it is smaller than the sum of its proper divisors (70318909831680).

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

25960206481920 is an frugal number, since it uses more digits than its factorization.

25960206481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 25960206481920 in words is "twenty-five trillion, nine hundred sixty billion, two hundred six million, four hundred eighty-one thousand, nine hundred twenty".