540516450600 has 240 divisors, whose sum is σ = 2145478975200. Its totient is φ = 123546591360.

The previous prime is 540516450581. The next prime is 540516450629. The reversal of 540516450600 is 6054615045.

540516450600 is a `hidden beast` number, since 5 + 4 + 0 + 5 + 1 + 6 + 45 + 0 + 600 = 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 59 ways as a sum of consecutive naturals, for example, 2269830 + ... + 2496629.

It is an arithmetic number, because the mean of its divisors is an integer number (8939495730).

Almost surely, 2^540516450600 is an apocalyptic number.

540516450600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540516450600 is an abundant number, since it is smaller than the sum of its proper divisors (1604962524600).

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

540516450600 is a wasteful number, since it uses less digits than its factorization.

540516450600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4766494 (or 4766476 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 540516450600 in words is "five hundred forty billion, five hundred sixteen million, four hundred fifty thousand, six hundred".