25669116000 has 1536 divisors, whose sum is σ = 114124308480. Its totient is φ = 5529600000.

The previous prime is 25669115981. The next prime is 25669116049. The reversal of 25669116000 is 61196652.

25669116000 is a `hidden beast` number, since 2 + 566 + 91 + 1 + 6 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 626075980 + ... + 626076020.

It is an arithmetic number, because the mean of its divisors is an integer number (74299680).

Almost surely, 2^25669116000 is an apocalyptic number.

25669116000 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 25669116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57062154240).

25669116000 is an abundant number, since it is smaller than the sum of its proper divisors (88455192480).

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

25669116000 is a wasteful number, since it uses less digits than its factorization.

25669116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

It can be divided in two parts, 256691 and 16000, that added together give a triangular number (272691 = T₇₃₈).

The spelling of 25669116000 in words is "twenty-five billion, six hundred sixty-nine million, one hundred sixteen thousand".