540716183120 has 160 divisors (see below), whose sum is σ = 1367555804160. Its totient is φ = 198276595200.

The previous prime is 540716183093. The next prime is 540716183123. The reversal of 540716183120 is 21381617045.

It is a super-2 number, since 2×540716183120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540716183123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45276350 + ... + 45288290.

It is an arithmetic number, because the mean of its divisors is an integer number (8547223776).

Almost surely, 2^540716183120 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 540716183120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683777902080).

540716183120 is an abundant number, since it is smaller than the sum of its proper divisors (826839621040).

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

540716183120 is a wasteful number, since it uses less digits than its factorization.

540716183120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12066 (or 11998 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 540716183120 in words is "five hundred forty billion, seven hundred sixteen million, one hundred eighty-three thousand, one hundred twenty".