540933189120 has 800 divisors, whose sum is σ = 2065603560768. Its totient is φ = 134826688512.

The previous prime is 540933189109. The next prime is 540933189127. The reversal of 540933189120 is 21981339045.

It is a happy number.

540933189120 is a `hidden beast` number, since 540 + 9 + 3 + 3 + 1 + 89 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540933189127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 609845317 + ... + 609846203.

Almost surely, 2^540933189120 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 540933189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032801780384).

540933189120 is an abundant number, since it is smaller than the sum of its proper divisors (1524670371648).

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

540933189120 is a wasteful number, since it uses less digits than its factorization.

540933189120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 540933189120 in words is "five hundred forty billion, nine hundred thirty-three million, one hundred eighty-nine thousand, one hundred twenty".