542551120000 has 320 divisors, whose sum is σ = 1376631055800. Its totient is φ = 212889600000.

The previous prime is 542551119991. The next prime is 542551120031. The reversal of 542551120000 is 21155245.

It can be written as a sum of positive squares in 20 ways, for example, as 542061117504 + 490002496 = 736248^2 + 22136^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1288719790 + ... + 1288720210.

Almost surely, 2^542551120000 is an apocalyptic number.

542551120000 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 542551120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688315527900).

542551120000 is an abundant number, since it is smaller than the sum of its proper divisors (834079935800).

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

542551120000 is an equidigital number, since it uses as much as digits as its factorization.

542551120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

Adding to 542551120000 its reverse (21155245), we get a palindrome (542572275245).

The spelling of 542551120000 in words is "five hundred forty-two billion, five hundred fifty-one million, one hundred twenty thousand".