540932020816 has 80 divisors (see below), whose sum is σ = 1184174654400. Its totient is φ = 237397749120.

The previous prime is 540932020801. The next prime is 540932020823. The reversal of 540932020816 is 618020239045.

It is a super-2 number, since 2×540932020816² (a number of 24 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 15 ways as a sum of consecutive naturals, for example, 4229455 + ... + 4355473.

It is an arithmetic number, because the mean of its divisors is an integer number (14802183180).

Almost surely, 2^540932020816 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 540932020816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592087327200).

540932020816 is an abundant number, since it is smaller than the sum of its proper divisors (643242633584).

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

540932020816 is a wasteful number, since it uses less digits than its factorization.

540932020816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126125 (or 126061 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 540932020816 in words is "five hundred forty billion, nine hundred thirty-two million, twenty thousand, eight hundred sixteen".