542943601920 has 432 divisors, whose sum is σ = 1898356824000. Its totient is φ = 143265792000.

The previous prime is 542943601919. The next prime is 542943601933. The reversal of 542943601920 is 29106349245.

542943601920 is a `hidden beast` number, since 5 + 4 + 29 + 436 + 0 + 192 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 517581556 + ... + 517582604.

It is an arithmetic number, because the mean of its divisors is an integer number (4394344500).

Almost surely, 2^542943601920 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 542943601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949178412000).

542943601920 is an abundant number, since it is smaller than the sum of its proper divisors (1355413222080).

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

542943601920 is a wasteful number, since it uses less digits than its factorization.

542943601920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 542943601920 in words is "five hundred forty-two billion, nine hundred forty-three million, six hundred one thousand, nine hundred twenty".