542844680160 has 192 divisors, whose sum is σ = 1803302161920. Its totient is φ = 136884971520.

The previous prime is 542844680111. The next prime is 542844680197. The reversal of 542844680160 is 61086448245.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4878909 + ... + 4988931.

It is an arithmetic number, because the mean of its divisors is an integer number (9392198760).

Almost surely, 2^542844680160 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 542844680160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901651080960).

542844680160 is an abundant number, since it is smaller than the sum of its proper divisors (1260457481760).

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

542844680160 is a wasteful number, since it uses less digits than its factorization.

542844680160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110601 (or 110593 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 542844680160 in words is "five hundred forty-two billion, eight hundred forty-four million, six hundred eighty thousand, one hundred sixty".