26540223297120 has 288 divisors, whose sum is σ = 97563170682432. Its totient is φ = 6531112636416.

The previous prime is 26540223297103. The next prime is 26540223297157. The reversal of 26540223297120 is 2179232204562.

26540223297120 is a `hidden beast` number, since 2 + 6 + 5 + 402 + 2 + 32 + 97 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65937117 + ... + 66338403.

It is an arithmetic number, because the mean of its divisors is an integer number (338761009314).

Almost surely, 2^{26540223297120} is an apocalyptic number.

26540223297120 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 26540223297120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48781585341216).

26540223297120 is an abundant number, since it is smaller than the sum of its proper divisors (71022947385312).

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

26540223297120 is a wasteful number, since it uses less digits than its factorization.

26540223297120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404854 (or 404843 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 26540223297120 in words is "twenty-six trillion, five hundred forty billion, two hundred twenty-three million, two hundred ninety-seven thousand, one hundred twenty".