540783936000 has 1920 divisors, whose sum is σ = 2473639534080. Its totient is φ = 110297088000.

The previous prime is 540783935987. The next prime is 540783936013. The reversal of 540783936000 is 639387045.

540783936000 is a `hidden beast` number, since 5 + 4 + 0 + 7 + 8 + 39 + 3 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (540783935987) and next prime (540783936013).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3947327932 + ... + 3947328068.

It is an arithmetic number, because the mean of its divisors is an integer number (1288353924).

Almost surely, 2^540783936000 is an apocalyptic number.

540783936000 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 540783936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236819767040).

540783936000 is an abundant number, since it is smaller than the sum of its proper divisors (1932855598080).

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

540783936000 is a wasteful number, since it uses less digits than its factorization.

540783936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 540783936000 in words is "five hundred forty billion, seven hundred eighty-three million, nine hundred thirty-six thousand".