542548112988672 has 960 divisors, whose sum is σ = 1891298002513920. Its totient is φ = 152073668837376.

The previous prime is 542548112988649. The next prime is 542548112988701. The reversal of 542548112988672 is 276889211845245.

542548112988672 is a `hidden beast` number, since 5 + 4 + 2 + 5 + 481 + 1 + 2 + 9 + 88 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 542548112988672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10801896423 + ... + 10801946649.

It is an arithmetic number, because the mean of its divisors is an integer number (1970102085952).

Almost surely, 2^{542548112988672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542548112988672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945649001256960).

542548112988672 is an abundant number, since it is smaller than the sum of its proper divisors (1348749889525248).

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

542548112988672 is an equidigital number, since it uses as much as digits as its factorization.

542548112988672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50503 (or 50475 counting only the distinct ones).

The product of its digits is 619315200, while the sum is 72.

The spelling of 542548112988672 in words is "five hundred forty-two trillion, five hundred forty-eight billion, one hundred twelve million, nine hundred eighty-eight thousand, six hundred seventy-two".