5540495360000 has 360 divisors, whose sum is σ = 14151192168960. Its totient is φ = 2167537664000.

The previous prime is 5540495359939. The next prime is 5540495360017. The reversal of 5540495360000 is 635940455.

It is a self number, because there is not a number n which added to its sum of digits gives 5540495360000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3850239281 + ... + 3850240719.

It is an arithmetic number, because the mean of its divisors is an integer number (39308867136).

Almost surely, 2^{5540495360000} is an apocalyptic number.

5540495360000 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 5540495360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7075596084480).

5540495360000 is an abundant number, since it is smaller than the sum of its proper divisors (8610696808960).

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

5540495360000 is an frugal number, since it uses more digits than its factorization.

5540495360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 41.

The spelling of 5540495360000 in words is "five trillion, five hundred forty billion, four hundred ninety-five million, three hundred sixty thousand".