26691255321600 has 264 divisors, whose sum is σ = 88482586840288. Its totient is φ = 7096157798400.

The previous prime is 26691255321571. The next prime is 26691255321623. The reversal of 26691255321600 is 612355219662.

It is a happy number.

It is a super-2 number, since 2×26691255321600² (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 26691255321600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24895812 + ... + 25945788.

Almost surely, 2^{26691255321600} is an apocalyptic number.

26691255321600 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 26691255321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44241293420144).

26691255321600 is an abundant number, since it is smaller than the sum of its proper divisors (61791331518688).

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

26691255321600 is a wasteful number, since it uses less digits than its factorization.

26691255321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050341 (or 1050318 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 26691255321600 in words is "twenty-six trillion, six hundred ninety-one billion, two hundred fifty-five million, three hundred twenty-one thousand, six hundred".