540550504445050 has 192 divisors, whose sum is σ = 1115922451891968. Its totient is φ = 193160540160000.

The previous prime is 540550504445027. The next prime is 540550504445093. The reversal of 540550504445050 is 50544405055045.

540550504445050 is a nontrivial binomial coefficient, being equal to C(32880101, 2).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18955363392 + ... + 18955391908.

It is an arithmetic number, because the mean of its divisors is an integer number (5812096103604).

Almost surely, 2^{540550504445050} is an apocalyptic number.

540550504445050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

540550504445050 is the 32880100-th triangular number.

540550504445050 is the 10960034-th centered nonagonal number.

540550504445050 is an abundant number, since it is smaller than the sum of its proper divisors (575371947446918).

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

540550504445050 is a wasteful number, since it uses less digits than its factorization.

540550504445050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30185 (or 30180 counting only the distinct ones).

The product of its (nonzero) digits is 4000000, while the sum is 46.

The spelling of 540550504445050 in words is "five hundred forty trillion, five hundred fifty billion, five hundred four million, four hundred forty-five thousand, fifty".