540945900180 has 384 divisors, whose sum is σ = 1953467228160. Its totient is φ = 121724467200.

The previous prime is 540945900133. The next prime is 540945900191. The reversal of 540945900180 is 81009549045.

540945900180 is a `hidden beast` number, since 5 + 40 + 9 + 4 + 590 + 0 + 18 + 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64493947 + ... + 64502333.

It is an arithmetic number, because the mean of its divisors is an integer number (5087154240).

Almost surely, 2^540945900180 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 540945900180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976733614080).

540945900180 is an abundant number, since it is smaller than the sum of its proper divisors (1412521327980).

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

540945900180 is a wasteful number, since it uses less digits than its factorization.

540945900180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8676 (or 8668 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 540945900180 in words is "five hundred forty billion, nine hundred forty-five million, nine hundred thousand, one hundred eighty".