26189025795072 has 2464 divisors, whose sum is σ = 99707275182080. Its totient is φ = 6704489594880.

The previous prime is 26189025795061. The next prime is 26189025795131. The reversal of 26189025795072 is 27059752098162.

26189025795072 is a `hidden beast` number, since 2 + 6 + 1 + 8 + 9 + 0 + 2 + 579 + 50 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 206212801473 + ... + 206212801599.

Almost surely, 2^{26189025795072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26189025795072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49853637591040).

26189025795072 is an abundant number, since it is smaller than the sum of its proper divisors (73518249387008).

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

26189025795072 is a wasteful number, since it uses less digits than its factorization.

26189025795072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 26189025795072 in words is "twenty-six trillion, one hundred eighty-nine billion, twenty-five million, seven hundred ninety-five thousand, seventy-two".