542446551600 has 240 divisors, whose sum is σ = 1754176526112. Its totient is φ = 143281889280.

The previous prime is 542446551551. The next prime is 542446551631. The reversal of 542446551600 is 6155644245.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×542446551600² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57500484 + ... + 57509916.

Almost surely, 2^542446551600 is an apocalyptic number.

542446551600 is a gapful number since it is divisible by the number (50) 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 542446551600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877088263056).

542446551600 is an abundant number, since it is smaller than the sum of its proper divisors (1211729974512).

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

542446551600 is a wasteful number, since it uses less digits than its factorization.

542446551600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9904 (or 9893 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 542446551600 in words is "five hundred forty-two billion, four hundred forty-six million, five hundred fifty-one thousand, six hundred".