542406130560 has 192 divisors, whose sum is σ = 2140567210080. Its totient is φ = 123978534912.

The previous prime is 542406130529. The next prime is 542406130687. The reversal of 542406130560 is 65031604245.

542406130560 is a `hidden beast` number, since 5 + 4 + 2 + 4 + 0 + 61 + 30 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6685947 + ... + 6766586.

Almost surely, 2^542406130560 is an apocalyptic number.

It is an amenable number.

542406130560 is an abundant number, since it is smaller than the sum of its proper divisors (1598161079520).

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

542406130560 is a wasteful number, since it uses less digits than its factorization.

542406130560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13452565 (or 13452550 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 542406130560 in words is "five hundred forty-two billion, four hundred six million, one hundred thirty thousand, five hundred sixty".