542126086656 has 640 divisors, whose sum is σ = 1845373888512. Its totient is φ = 137355264000.

The previous prime is 542126086609. The next prime is 542126086657. The reversal of 542126086656 is 656680621245.

It is a junction number, because it is equal to n+sod(n) for n = 542126086599 and 542126086608.

It is not an unprimeable number, because it can be changed into a prime (542126086657) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1175978266 + ... + 1175978726.

Almost surely, 2^542126086656 is an apocalyptic number.

542126086656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542126086656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922686944256).

542126086656 is an abundant number, since it is smaller than the sum of its proper divisors (1303247801856).

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

542126086656 is a wasteful number, since it uses less digits than its factorization.

542126086656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 542126086656 in words is "five hundred forty-two billion, one hundred twenty-six million, eighty-six thousand, six hundred fifty-six".