542282860800 has 864 divisors, whose sum is σ = 2103684800000. Its totient is φ = 136310169600.

The previous prime is 542282860793. The next prime is 542282860817. The reversal of 542282860800 is 8068282245.

542282860800 is a `hidden beast` number, since 542 + 2 + 8 + 28 + 6 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×542282860800² (a number of 24 digits) contains 22 as substring.

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

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, 1086738951 + ... + 1086739449.

Almost surely, 2^542282860800 is an apocalyptic number.

542282860800 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 542282860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051842400000).

542282860800 is an abundant number, since it is smaller than the sum of its proper divisors (1561401939200).

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

542282860800 is a wasteful number, since it uses less digits than its factorization.

542282860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 542282860800 in words is "five hundred forty-two billion, two hundred eighty-two million, eight hundred sixty thousand, eight hundred".