26000828662800 has 60 divisors (see below), whose sum is σ = 83289321153680. Its totient is φ = 6933554309760.

The previous prime is 26000828662789. The next prime is 26000828662807. The reversal of 26000828662800 is 826682800062.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×26000828662800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 26000828662800.

It is not an unprimeable number, because it can be changed into a prime (26000828662807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10833677410 + ... + 10833679809.

Almost surely, 2^{26000828662800} is an apocalyptic number.

26000828662800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26000828662800 is an abundant number, since it is smaller than the sum of its proper divisors (57288492490880).

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

26000828662800 is a wasteful number, since it uses less digits than its factorization.

26000828662800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21667357240 (or 21667357229 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 26000828662800 in words is "twenty-six trillion, eight hundred twenty-eight million, six hundred sixty-two thousand, eight hundred".