26901642096 has 180 divisors, whose sum is σ = 89946901512. Its totient is φ = 7478376192.

The previous prime is 26901642091. The next prime is 26901642101. The reversal of 26901642096 is 69024610962.

It is an interprime number because it is at equal distance from previous prime (26901642091) and next prime (26901642101).

It is a super-2 number, since 2×26901642096² (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 (26901642091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 209551 + ... + 312593.

Almost surely, 2^26901642096 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 26901642096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44973450756).

26901642096 is an abundant number, since it is smaller than the sum of its proper divisors (63045259416).

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

26901642096 is a wasteful number, since it uses less digits than its factorization.

26901642096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103108 (or 103092 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 26901642096 in words is "twenty-six billion, nine hundred one million, six hundred forty-two thousand, ninety-six".