542636510130 has 384 divisors, whose sum is σ = 1697438695680. Its totient is φ = 118536929280.

The previous prime is 542636510077. The next prime is 542636510147. The reversal of 542636510130 is 31015636245.

542636510130 is a `hidden beast` number, since 5 + 4 + 2 + 6 + 3 + 6 + 510 + 130 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 97435986 + ... + 97441554.

It is an arithmetic number, because the mean of its divisors is an integer number (4420413270).

Almost surely, 2^542636510130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542636510130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848719347840).

542636510130 is an abundant number, since it is smaller than the sum of its proper divisors (1154802185550).

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

542636510130 is a wasteful number, since it uses less digits than its factorization.

542636510130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5786 (or 5783 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 542636510130 in words is "five hundred forty-two billion, six hundred thirty-six million, five hundred ten thousand, one hundred thirty".