540546223979520 has 4224 divisors, whose sum is σ = 2353377719347200. Its totient is φ = 117004708085760.

The previous prime is 540546223979507. The next prime is 540546223979551. The reversal of 540546223979520 is 25979322645045.

540546223979520 is a `hidden beast` number, since 5 + 4 + 0 + 5 + 4 + 6 + 2 + 2 + 39 + 79 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 533609302534 + ... + 533609303546.

Almost surely, 2^{540546223979520} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540546223979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176688859673600).

540546223979520 is an abundant number, since it is smaller than the sum of its proper divisors (1812831495367680).

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

540546223979520 is a wasteful number, since it uses less digits than its factorization.

540546223979520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 63.

The spelling of 540546223979520 in words is "five hundred forty trillion, five hundred forty-six billion, two hundred twenty-three million, nine hundred seventy-nine thousand, five hundred twenty".