26681137152 has 192 divisors, whose sum is σ = 75615845760. Its totient is φ = 8337358848.

The previous prime is 26681137141. The next prime is 26681137159. The reversal of 26681137152 is 25173118662.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×26681137152² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26681137159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48776943 + ... + 48777489.

It is an arithmetic number, because the mean of its divisors is an integer number (393832530).

Almost surely, 2^26681137152 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 26681137152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37807922880).

26681137152 is an abundant number, since it is smaller than the sum of its proper divisors (48934708608).

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

26681137152 is a wasteful number, since it uses less digits than its factorization.

26681137152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1036 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The spelling of 26681137152 in words is "twenty-six billion, six hundred eighty-one million, one hundred thirty-seven thousand, one hundred fifty-two".