26530199764992 has 2880 divisors, whose sum is σ = 110498886457344. Its totient is φ = 6128884776960.

The previous prime is 26530199764987. The next prime is 26530199765039. The reversal of 26530199764992 is 29946799103562.

26530199764992 is a `hidden beast` number, since 2 + 6 + 5 + 30 + 19 + 97 + 6 + 499 + 2 = 666.

It is a super-3 number, since 3×26530199764992³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 26530199764992.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 319640960983 + ... + 319640961065.

Almost surely, 2^{26530199764992} is an apocalyptic number.

26530199764992 is a gapful number since it is divisible by the number (22) 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 26530199764992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55249443228672).

26530199764992 is an abundant number, since it is smaller than the sum of its proper divisors (83968686692352).

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

26530199764992 is an equidigital number, since it uses as much as digits as its factorization.

26530199764992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 396809280, while the sum is 72.

The spelling of 26530199764992 in words is "twenty-six trillion, five hundred thirty billion, one hundred ninety-nine million, seven hundred sixty-four thousand, nine hundred ninety-two".