540138274560 has 1080 divisors, whose sum is σ = 2171202984720. Its totient is φ = 127417909248.

The previous prime is 540138274523. The next prime is 540138274573. The reversal of 540138274560 is 65472831045.

540138274560 is a `hidden beast` number, since 5 + 4 + 0 + 1 + 3 + 82 + 7 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 119 ways as a sum of consecutive naturals, for example, 4253057217 + ... + 4253057343.

It is an arithmetic number, because the mean of its divisors is an integer number (2010373134).

Almost surely, 2^540138274560 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 540138274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085601492360).

540138274560 is an abundant number, since it is smaller than the sum of its proper divisors (1631064710160).

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

540138274560 is a wasteful number, since it uses less digits than its factorization.

540138274560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 540138274560 in words is "five hundred forty billion, one hundred thirty-eight million, two hundred seventy-four thousand, five hundred sixty".