540677814912 has 448 divisors, whose sum is σ = 1665440300160. Its totient is φ = 174670110720.

The previous prime is 540677814893. The next prime is 540677814953. The reversal of 540677814912 is 219418776045.

540677814912 is a `hidden beast` number, since 5 + 4 + 0 + 6 + 77 + 81 + 491 + 2 = 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 55 ways as a sum of consecutive naturals, for example, 495579487 + ... + 495580577.

It is an arithmetic number, because the mean of its divisors is an integer number (3717500670).

Almost surely, 2^540677814912 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 540677814912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832720150080).

540677814912 is an abundant number, since it is smaller than the sum of its proper divisors (1124762485248).

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

540677814912 is a wasteful number, since it uses less digits than its factorization.

540677814912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 540677814912 in words is "five hundred forty billion, six hundred seventy-seven million, eight hundred fourteen thousand, nine hundred twelve".