540365678899200 has 3744 divisors, whose sum is σ = 2468117970339840. Its totient is φ = 109752562483200.

The previous prime is 540365678899199. The next prime is 540365678899247. The reversal of 540365678899200 is 2998876563045.

It is a happy number.

540365678899200 is a `hidden beast` number, since 5 + 4 + 0 + 36 + 567 + 8 + 8 + 9 + 9 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 633488485974 + ... + 633488486826.

It is an arithmetic number, because the mean of its divisors is an integer number (659219543360).

Almost surely, 2^{540365678899200} is an apocalyptic number.

540365678899200 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 540365678899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234058985169920).

540365678899200 is an abundant number, since it is smaller than the sum of its proper divisors (1927752291440640).

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

540365678899200 is a wasteful number, since it uses less digits than its factorization.

540365678899200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 540365678899200 in words is "five hundred forty trillion, three hundred sixty-five billion, six hundred seventy-eight million, eight hundred ninety-nine thousand, two hundred".