540593353385280 has 2688 divisors, whose sum is σ = 2217523875840000. Its totient is φ = 119722144628736.

The previous prime is 540593353385207. The next prime is 540593353385341. The reversal of 540593353385280 is 82583353395045.

It is a happy number.

540593353385280 is a `hidden beast` number, since 5 + 4 + 0 + 5 + 93 + 3 + 533 + 8 + 5 + 2 + 8 + 0 = 666.

It is a super-2 number, since 2×540593353385280² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 155835499386 + ... + 155835502854.

It is an arithmetic number, because the mean of its divisors is an integer number (824971680000).

Almost surely, 2^{540593353385280} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540593353385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108761937920000).

540593353385280 is an abundant number, since it is smaller than the sum of its proper divisors (1676930522454720).

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

540593353385280 is a wasteful number, since it uses less digits than its factorization.

540593353385280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3709 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 233280000, while the sum is 63.

The spelling of 540593353385280 in words is "five hundred forty trillion, five hundred ninety-three billion, three hundred fifty-three million, three hundred eighty-five thousand, two hundred eighty".