540603840000 has 400 divisors, whose sum is σ = 2056799213568. Its totient is φ = 123565056000.

The previous prime is 540603839953. The next prime is 540603840017. The reversal of 540603840000 is 48306045.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 540603840000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6679777 + ... + 6760223.

Almost surely, 2^540603840000 is an apocalyptic number.

540603840000 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 540603840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028399606784).

540603840000 is an abundant number, since it is smaller than the sum of its proper divisors (1516195373568).

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

540603840000 is an frugal number, since it uses more digits than its factorization.

540603840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80495 (or 80464 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 540603840000 in words is "five hundred forty billion, six hundred three million, eight hundred forty thousand".