26137919808 has 1344 divisors, whose sum is σ = 110343647232. Its totient is φ = 5912248320.

The previous prime is 26137919777. The next prime is 26137919809. The reversal of 26137919808 is 80891973162.

26137919808 is a `hidden beast` number, since 2 + 613 + 7 + 9 + 19 + 8 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26137919809) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 358053660 + ... + 358053732.

It is an arithmetic number, because the mean of its divisors is an integer number (82100928).

Almost surely, 2^26137919808 is an apocalyptic number.

26137919808 is a gapful number since it is divisible by the number (28) 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 26137919808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55171823616).

26137919808 is an abundant number, since it is smaller than the sum of its proper divisors (84205727424).

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

26137919808 is a wasteful number, since it uses less digits than its factorization.

26137919808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 26137919808 in words is "twenty-six billion, one hundred thirty-seven million, nine hundred nineteen thousand, eight hundred eight".