26829801504 has 192 divisors, whose sum is σ = 89861184000. Its totient is φ = 7702283520.

The previous prime is 26829801469. The next prime is 26829801529. The reversal of 26829801504 is 40510892862.

26829801504 is a `hidden beast` number, since 2 + 68 + 2 + 9 + 80 + 1 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 26829801504.

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, 106287 + ... + 254865.

It is an arithmetic number, because the mean of its divisors is an integer number (468027000).

Almost surely, 2^26829801504 is an apocalyptic number.

26829801504 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 26829801504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44930592000).

26829801504 is an abundant number, since it is smaller than the sum of its proper divisors (63031382496).

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

26829801504 is a wasteful number, since it uses less digits than its factorization.

26829801504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148628 (or 148614 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 26829801504 in words is "twenty-six billion, eight hundred twenty-nine million, eight hundred one thousand, five hundred four".