26829122133000 has 1536 divisors, whose sum is σ = 99557136806400. Its totient is φ = 5959692288000.

The previous prime is 26829122132999. The next prime is 26829122133001. The reversal of 26829122133000 is 33122192862.

It is an interprime number because it is at equal distance from previous prime (26829122132999) and next prime (26829122133001).

It is a self number, because there is not a number n which added to its sum of digits gives 26829122133000.

It is not an unprimeable number, because it can be changed into a prime (26829122133001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 47151356716 + ... + 47151357284.

It is an arithmetic number, because the mean of its divisors is an integer number (64815844275).

Almost surely, 2^{26829122133000} is an apocalyptic number.

26829122133000 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 26829122133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49778568403200).

26829122133000 is an abundant number, since it is smaller than the sum of its proper divisors (72728014673400).

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

26829122133000 is a wasteful number, since it uses less digits than its factorization.

26829122133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 26829122133000 in words is "twenty-six trillion, eight hundred twenty-nine billion, one hundred twenty-two million, one hundred thirty-three thousand".