540057323520 has 1152 divisors, whose sum is σ = 2252469098880. Its totient is φ = 117917614080.

The previous prime is 540057323461. The next prime is 540057323549. The reversal of 540057323520 is 25323750045.

540057323520 is a `hidden beast` number, since 5 + 40 + 0 + 5 + 73 + 23 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 566691364 + ... + 566692316.

It is an arithmetic number, because the mean of its divisors is an integer number (1955268315).

Almost surely, 2^540057323520 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 540057323520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126234549440).

540057323520 is an abundant number, since it is smaller than the sum of its proper divisors (1712411775360).

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

540057323520 is a wasteful number, since it uses less digits than its factorization.

540057323520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 36.

The spelling of 540057323520 in words is "five hundred forty billion, fifty-seven million, three hundred twenty-three thousand, five hundred twenty".