26492812093440 has 1728 divisors, whose sum is σ = 120841940681280. Its totient is φ = 5504721223680.

The previous prime is 26492812093421. The next prime is 26492812093469. The reversal of 26492812093440 is 4439021829462.

26492812093440 is a `hidden beast` number, since 2 + 6 + 4 + 92 + 8 + 1 + 20 + 93 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 143 ways as a sum of consecutive naturals, for example, 1341194604 + ... + 1341214356.

It is an arithmetic number, because the mean of its divisors is an integer number (69931678635).

Almost surely, 2^{26492812093440} is an apocalyptic number.

26492812093440 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 26492812093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60420970340640).

26492812093440 is an abundant number, since it is smaller than the sum of its proper divisors (94349128587840).

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

26492812093440 is a wasteful number, since it uses less digits than its factorization.

26492812093440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19820 (or 19781 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 26492812093440 in words is "twenty-six trillion, four hundred ninety-two billion, eight hundred twelve million, ninety-three thousand, four hundred forty".