542554740000 has 1920 divisors, whose sum is σ = 2487325800960. Its totient is φ = 111974400000.

The previous prime is 542554739971. The next prime is 542554740037. The reversal of 542554740000 is 47455245.

It is a happy number.

542554740000 is a `hidden beast` number, since 54 + 25 + 547 + 40 + 0 + 0 + 0 = 666.

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

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 2997539910 + ... + 2997540090.

It is an arithmetic number, because the mean of its divisors is an integer number (1295482188).

Almost surely, 2^542554740000 is an apocalyptic number.

542554740000 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 542554740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243662900480).

542554740000 is an abundant number, since it is smaller than the sum of its proper divisors (1944771060960).

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

542554740000 is a wasteful number, since it uses less digits than its factorization.

542554740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The spelling of 542554740000 in words is "five hundred forty-two billion, five hundred fifty-four million, seven hundred forty thousand".