26166545233920 has 3840 divisors, whose sum is σ = 121979865047040. Its totient is φ = 5217111244800.

The previous prime is 26166545233903. The next prime is 26166545233999. The reversal of 26166545233920 is 2933254566162.

26166545233920 is a `hidden beast` number, since 2 + 6 + 1 + 6 + 6 + 545 + 2 + 3 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 124012062615 + ... + 124012062825.

It is an arithmetic number, because the mean of its divisors is an integer number (31765589856).

Almost surely, 2^{26166545233920} is an apocalyptic number.

26166545233920 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 26166545233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60989932523520).

26166545233920 is an abundant number, since it is smaller than the sum of its proper divisors (95813319813120).

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

26166545233920 is a wasteful number, since it uses less digits than its factorization.

26166545233920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 26166545233920 in words is "twenty-six trillion, one hundred sixty-six billion, five hundred forty-five million, two hundred thirty-three thousand, nine hundred twenty".