540380729548800 has 2688 divisors, whose sum is σ = 2349348664442880. Its totient is φ = 119190926131200.

The previous prime is 540380729548799. The next prime is 540380729548811. The reversal of 540380729548800 is 8845927083045.

540380729548800 is a `hidden beast` number, since 5 + 4 + 0 + 3 + 8 + 0 + 7 + 2 + 9 + 548 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×540380729548800² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 181885131315 + ... + 181885134285.

Almost surely, 2^{540380729548800} is an apocalyptic number.

540380729548800 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 540380729548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174674332221440).

540380729548800 is an abundant number, since it is smaller than the sum of its proper divisors (1808967934894080).

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

540380729548800 is a wasteful number, since it uses less digits than its factorization.

540380729548800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3187 (or 3152 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 540380729548800 in words is "five hundred forty trillion, three hundred eighty billion, seven hundred twenty-nine million, five hundred forty-eight thousand, eight hundred".