26526044160 has 1248 divisors, whose sum is σ = 121017110400. Its totient is φ = 5449973760.

The previous prime is 26526044123. The next prime is 26526044161. The reversal of 26526044160 is 6144062562.

26526044160 is a `hidden beast` number, since 2 + 6 + 5 + 2 + 604 + 41 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26526044161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 298045396 + ... + 298045484.

Almost surely, 2^26526044160 is an apocalyptic number.

26526044160 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 26526044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60508555200).

26526044160 is an abundant number, since it is smaller than the sum of its proper divisors (94491066240).

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

26526044160 is a wasteful number, since it uses less digits than its factorization.

26526044160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 26526044160 in words is "twenty-six billion, five hundred twenty-six million, forty-four thousand, one hundred sixty".