542129158656 has 480 divisors, whose sum is σ = 1683860226048. Its totient is φ = 173948497920.

The previous prime is 542129158607. The next prime is 542129158673. The reversal of 542129158656 is 656851921245.

542129158656 is a `hidden beast` number, since 5 + 4 + 2 + 1 + 2 + 9 + 1 + 586 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1415480641 + ... + 1415481023.

Almost surely, 2^542129158656 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 542129158656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841930113024).

542129158656 is an abundant number, since it is smaller than the sum of its proper divisors (1141731067392).

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

542129158656 is an equidigital number, since it uses as much as digits as its factorization.

542129158656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 786 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 54.

The spelling of 542129158656 in words is "five hundred forty-two billion, one hundred twenty-nine million, one hundred fifty-eight thousand, six hundred fifty-six".