26389161504 has 192 divisors, whose sum is σ = 80471059200. Its totient is φ = 8397582336.

The previous prime is 26389161493. The next prime is 26389161553. The reversal of 26389161504 is 40516198362.

26389161504 is a `hidden beast` number, since 2 + 6 + 3 + 89 + 1 + 61 + 504 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 26389161504.

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, 14088312 + ... + 14090184.

It is an arithmetic number, because the mean of its divisors is an integer number (419120100).

Almost surely, 2^26389161504 is an apocalyptic number.

26389161504 is a gapful number since it is divisible by the number (24) 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 26389161504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40235529600).

26389161504 is an abundant number, since it is smaller than the sum of its proper divisors (54081897696).

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

26389161504 is a wasteful number, since it uses less digits than its factorization.

26389161504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 26389161504 in words is "twenty-six billion, three hundred eighty-nine million, one hundred sixty-one thousand, five hundred four".