540719143597776 has 960 divisors, whose sum is σ = 1865529785952000. Its totient is φ = 132483120168960.

The previous prime is 540719143597771. The next prime is 540719143597823. The reversal of 540719143597776 is 677795341917045.

It is a happy number.

It is a super-2 number, since 2×540719143597776² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 540719143597698 and 540719143597707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540719143597771) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2283815850 + ... + 2284052598.

It is an arithmetic number, because the mean of its divisors is an integer number (1943260193700).

Almost surely, 2^{540719143597776} 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 540719143597776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932764892976000).

540719143597776 is an abundant number, since it is smaller than the sum of its proper divisors (1324810642354224).

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

540719143597776 is a wasteful number, since it uses less digits than its factorization.

540719143597776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236884 (or 236855 counting only the distinct ones).

The product of its (nonzero) digits is 1400263200, while the sum is 75.

The spelling of 540719143597776 in words is "five hundred forty trillion, seven hundred nineteen billion, one hundred forty-three million, five hundred ninety-seven thousand, seven hundred seventy-six".