26540817292080 has 1280 divisors, whose sum is σ = 113415140966400. Its totient is φ = 5555184353280.

The previous prime is 26540817292049. The next prime is 26540817292127. The reversal of 26540817292080 is 8029271804562.

26540817292080 is a `hidden beast` number, since 2 + 6 + 5 + 408 + 1 + 7 + 29 + 208 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 21595456906 + ... + 21595458134.

It is an arithmetic number, because the mean of its divisors is an integer number (88605578880).

Almost surely, 2^{26540817292080} is an apocalyptic number.

26540817292080 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 26540817292080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56707570483200).

26540817292080 is an abundant number, since it is smaller than the sum of its proper divisors (86874323674320).

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

26540817292080 is a wasteful number, since it uses less digits than its factorization.

26540817292080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 26540817292080 in words is "twenty-six trillion, five hundred forty billion, eight hundred seventeen million, two hundred ninety-two thousand, eighty".