26664596001792 has 2200 divisors, whose sum is σ = 101568116416800. Its totient is φ = 6968605851648.

The previous prime is 26664596001731. The next prime is 26664596001793. The reversal of 26664596001792 is 29710069546662.

It is a super-2 number, since 2×26664596001792² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26664596001793) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 919468827634 + ... + 919468827662.

It is an arithmetic number, because the mean of its divisors is an integer number (46167325644).

Almost surely, 2^{26664596001792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26664596001792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50784058208400).

26664596001792 is an abundant number, since it is smaller than the sum of its proper divisors (74903520415008).

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

26664596001792 is an frugal number, since it uses more digits than its factorization.

26664596001792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 26664596001792 in words is "twenty-six trillion, six hundred sixty-four billion, five hundred ninety-six million, one thousand, seven hundred ninety-two".