540013023213300 has 432 divisors, whose sum is σ = 2088445505432832. Its totient is φ = 113652675072000.

The previous prime is 540013023213299. The next prime is 540013023213329. The reversal of 540013023213300 is 3312320310045.

540013023213300 is a `hidden beast` number, since 5 + 4 + 0 + 0 + 1 + 3 + 0 + 2 + 321 + 330 + 0 = 666.

It is a super-2 number, since 2×540013023213300² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24620497 + ... + 41063303.

Almost surely, 2^{540013023213300} is an apocalyptic number.

540013023213300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540013023213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044222752716416).

540013023213300 is an abundant number, since it is smaller than the sum of its proper divisors (1548432482219532).

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

540013023213300 is a wasteful number, since it uses less digits than its factorization.

540013023213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16443248 (or 16443238 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 540013023213300 its reverse (3312320310045), we get a palindrome (543325343523345).

The spelling of 540013023213300 in words is "five hundred forty trillion, thirteen billion, twenty-three million, two hundred thirteen thousand, three hundred".