542896300800 has 864 divisors, whose sum is σ = 2282320588800. Its totient is φ = 123699363840.

The previous prime is 542896300733. The next prime is 542896300829. The reversal of 542896300800 is 8003698245.

542896300800 is a `hidden beast` number, since 5 + 4 + 2 + 8 + 9 + 630 + 0 + 8 + 0 + 0 = 666.

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

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, 579397932 + ... + 579398868.

Almost surely, 2^542896300800 is an apocalyptic number.

542896300800 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 542896300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141160294400).

542896300800 is an abundant number, since it is smaller than the sum of its proper divisors (1739424288000).

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

542896300800 is a wasteful number, since it uses less digits than its factorization.

542896300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 542896300800 in words is "five hundred forty-two billion, eight hundred ninety-six million, three hundred thousand, eight hundred".