542255212800 has 2160 divisors, whose sum is σ = 2451000625920. Its totient is φ = 115617300480.

The previous prime is 542255212721. The next prime is 542255212801. The reversal of 542255212800 is 8212552245.

542255212800 is a `hidden beast` number, since 5 + 4 + 22 + 552 + 1 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (542255212801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6092755156 + ... + 6092755244.

It is an arithmetic number, because the mean of its divisors is an integer number (1134722512).

Almost surely, 2^542255212800 is an apocalyptic number.

542255212800 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 542255212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225500312960).

542255212800 is an abundant number, since it is smaller than the sum of its proper divisors (1908745413120).

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

542255212800 is a wasteful number, since it uses less digits than its factorization.

542255212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

It can be divided in two parts, 54225 and 5212800, that added together give a square (5267025 = 2295²).

The spelling of 542255212800 in words is "five hundred forty-two billion, two hundred fifty-five million, two hundred twelve thousand, eight hundred".