26397166723200 has 2880 divisors, whose sum is σ = 124483141854720. Its totient is φ = 5387909529600.

The previous prime is 26397166723141. The next prime is 26397166723229. The reversal of 26397166723200 is 232766179362.

26397166723200 is a `hidden beast` number, since 2 + 6 + 3 + 97 + 166 + 72 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×26397166723200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 9505640212 + ... + 9505642988.

It is an arithmetic number, because the mean of its divisors is an integer number (43223313144).

Almost surely, 2^{26397166723200} is an apocalyptic number.

26397166723200 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 26397166723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62241570927360).

26397166723200 is an abundant number, since it is smaller than the sum of its proper divisors (98085975131520).

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

26397166723200 is a wasteful number, since it uses less digits than its factorization.

26397166723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 26397166723200 in words is "twenty-six trillion, three hundred ninety-seven billion, one hundred sixty-six million, seven hundred twenty-three thousand, two hundred".