26896734144 has 336 divisors, whose sum is σ = 94360593600. Its totient is φ = 7149846528.

The previous prime is 26896734119. The next prime is 26896734223. The reversal of 26896734144 is 44143769862.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×26896734144² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6098212 + ... + 6102620.

It is an arithmetic number, because the mean of its divisors is an integer number (280835100).

Almost surely, 2^26896734144 is an apocalyptic number.

26896734144 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 26896734144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47180296800).

26896734144 is an abundant number, since it is smaller than the sum of its proper divisors (67463859456).

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

26896734144 is a wasteful number, since it uses less digits than its factorization.

26896734144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4540 (or 4527 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 26896734144 in words is "twenty-six billion, eight hundred ninety-six million, seven hundred thirty-four thousand, one hundred forty-four".