26839105920 has 256 divisors, whose sum is σ = 103697280000. Its totient is φ = 6506403840.

The previous prime is 26839105913. The next prime is 26839105949. The reversal of 26839105920 is 2950193862.

26839105920 is a `hidden beast` number, since 26 + 8 + 39 + 1 + 0 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119481 + ... + 260679.

It is an arithmetic number, because the mean of its divisors is an integer number (405067500).

Almost surely, 2^26839105920 is an apocalyptic number.

26839105920 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 26839105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51848640000).

26839105920 is an abundant number, since it is smaller than the sum of its proper divisors (76858174080).

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

26839105920 is a wasteful number, since it uses less digits than its factorization.

26839105920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141238 (or 141220 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 26839105920 in words is "twenty-six billion, eight hundred thirty-nine million, one hundred five thousand, nine hundred twenty".