26413132056300 has 216 divisors, whose sum is σ = 90355695459120. Its totient is φ = 6400433318400.

The previous prime is 26413132056263. The next prime is 26413132056379. The reversal of 26413132056300 is 365023131462.

26413132056300 is a `hidden beast` number, since 2 + 6 + 4 + 1 + 3 + 13 + 2 + 0 + 5 + 630 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22524906 + ... + 23668494.

Almost surely, 2^{26413132056300} is an apocalyptic number.

26413132056300 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 26413132056300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45177847729560).

26413132056300 is an abundant number, since it is smaller than the sum of its proper divisors (63942563402820).

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

26413132056300 is a wasteful number, since it uses less digits than its factorization.

26413132056300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145953 (or 1145943 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 26413132056300 its reverse (365023131462), we get a palindrome (26778155187762).

The spelling of 26413132056300 in words is "twenty-six trillion, four hundred thirteen billion, one hundred thirty-two million, fifty-six thousand, three hundred".