540093355200 has 1176 divisors, whose sum is σ = 2356744262880. Its totient is φ = 119140761600.

The previous prime is 540093355163. The next prime is 540093355247. The reversal of 540093355200 is 2553390045.

540093355200 is a `hidden beast` number, since 5 + 40 + 0 + 93 + 3 + 5 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 236778060 + ... + 236780340.

Almost surely, 2^540093355200 is an apocalyptic number.

540093355200 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 540093355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178372131440).

540093355200 is an abundant number, since it is smaller than the sum of its proper divisors (1816650907680).

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

540093355200 is a wasteful number, since it uses less digits than its factorization.

540093355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 540093355200 in words is "five hundred forty billion, ninety-three million, three hundred fifty-five thousand, two hundred".