26540411304960 has 2112 divisors, whose sum is σ = 114513736458240. Its totient is φ = 5805708410880.

The previous prime is 26540411304919. The next prime is 26540411304989. The reversal of 26540411304960 is 6940311404562.

26540411304960 is a `hidden beast` number, since 2 + 6 + 5 + 40 + 4 + 113 + 0 + 496 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20368695669 + ... + 20368696971.

Almost surely, 2^{26540411304960} is an apocalyptic number.

26540411304960 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 26540411304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57256868229120).

26540411304960 is an abundant number, since it is smaller than the sum of its proper divisors (87973325153280).

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

26540411304960 is a wasteful number, since it uses less digits than its factorization.

26540411304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 26540411304960 in words is "twenty-six trillion, five hundred forty billion, four hundred eleven million, three hundred four thousand, nine hundred sixty".