542221954560 has 960 divisors, whose sum is σ = 2219932915200. Its totient is φ = 120580669440.

The previous prime is 542221954559. The next prime is 542221954597. The reversal of 542221954560 is 65459122245.

542221954560 is a `hidden beast` number, since 5 + 4 + 2 + 2 + 2 + 195 + 456 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 655648867 + ... + 655649693.

It is an arithmetic number, because the mean of its divisors is an integer number (2312430120).

Almost surely, 2^542221954560 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 542221954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109966457600).

542221954560 is an abundant number, since it is smaller than the sum of its proper divisors (1677710960640).

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

542221954560 is a wasteful number, since it uses less digits than its factorization.

542221954560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 542221954560 in words is "five hundred forty-two billion, two hundred twenty-one million, nine hundred fifty-four thousand, five hundred sixty".