542220800800 has 144 divisors (see below), whose sum is σ = 1513249395840. Its totient is φ = 185848565760.

The previous prime is 542220800767. The next prime is 542220800833. The reversal of 542220800800 is 8008022245.

It is an interprime number because it is at equal distance from previous prime (542220800767) and next prime (542220800833).

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, 21530616 + ... + 21555784.

It is an arithmetic number, because the mean of its divisors is an integer number (10508676360).

Almost surely, 2^542220800800 is an apocalyptic number.

542220800800 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 542220800800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756624697920).

542220800800 is an abundant number, since it is smaller than the sum of its proper divisors (971028595040).

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

542220800800 is a wasteful number, since it uses less digits than its factorization.

542220800800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29043 (or 29030 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The spelling of 542220800800 in words is "five hundred forty-two billion, two hundred twenty million, eight hundred thousand, eight hundred".