25797516066 has 64 divisors (see below), whose sum is σ = 65603001600. Its totient is φ = 7361100288.

The previous prime is 25797516037. The next prime is 25797516077. The reversal of 25797516066 is 66061579752.

25797516066 is a `hidden beast` number, since 2 + 579 + 7 + 5 + 1 + 6 + 0 + 66 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248050 + ... + 336338.

It is an arithmetic number, because the mean of its divisors is an integer number (1025046900).

Almost surely, 2^25797516066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25797516066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32801500800).

25797516066 is an abundant number, since it is smaller than the sum of its proper divisors (39805485534).

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

25797516066 is a wasteful number, since it uses less digits than its factorization.

25797516066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89080 (or 89074 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 25797516066 in words is "twenty-five billion, seven hundred ninety-seven million, five hundred sixteen thousand, sixty-six".