26531040340464 has 320 divisors, whose sum is σ = 82140693373440. Its totient is φ = 7284158300160.

The previous prime is 26531040340463. The next prime is 26531040340477. The reversal of 26531040340464 is 46404304013562.

It is a super-2 number, since 2×26531040340464² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26531040340463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87571227 + ... + 87873669.

It is an arithmetic number, because the mean of its divisors is an integer number (256689666792).

Almost surely, 2^{26531040340464} is an apocalyptic number.

26531040340464 is a gapful number since it is divisible by the number (24) 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 26531040340464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41070346686720).

26531040340464 is an abundant number, since it is smaller than the sum of its proper divisors (55609653032976).

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

26531040340464 is a wasteful number, since it uses less digits than its factorization.

26531040340464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302848 (or 302842 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 26531040340464 in words is "twenty-six trillion, five hundred thirty-one billion, forty million, three hundred forty thousand, four hundred sixty-four".