542553292800 has 1260 divisors, whose sum is σ = 2131668981120. Its totient is φ = 136638627840.

The previous prime is 542553292769. The next prime is 542553292829. The reversal of 542553292800 is 8292355245.

542553292800 is a `hidden beast` number, since 5 + 4 + 2 + 553 + 2 + 92 + 8 + 0 + 0 = 666.

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 83 ways as a sum of consecutive naturals, for example, 6867763161 + ... + 6867763239.

Almost surely, 2^542553292800 is an apocalyptic number.

542553292800 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 542553292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065834490560).

542553292800 is an abundant number, since it is smaller than the sum of its proper divisors (1589115688320).

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

542553292800 is an frugal number, since it uses more digits than its factorization.

542553292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 112 counting only the distinct ones).

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

The spelling of 542553292800 in words is "five hundred forty-two billion, five hundred fifty-three million, two hundred ninety-two thousand, eight hundred".