542533494988800 has 2016 divisors, whose sum is σ = 2322204810951168. Its totient is φ = 118377582428160.

The previous prime is 542533494988799. The next prime is 542533494988813. The reversal of 542533494988800 is 8889494335245.

542533494988800 is a `hidden beast` number, since 5 + 4 + 2 + 53 + 3 + 4 + 9 + 498 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 175975832059 + ... + 175975835141.

Almost surely, 2^{542533494988800} is an apocalyptic number.

542533494988800 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 542533494988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161102405475584).

542533494988800 is an abundant number, since it is smaller than the sum of its proper divisors (1779671315962368).

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

542533494988800 is a wasteful number, since it uses less digits than its factorization.

542533494988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748 (or 3716 counting only the distinct ones).

The product of its (nonzero) digits is 1194393600, while the sum is 72.

The spelling of 542533494988800 in words is "five hundred forty-two trillion, five hundred thirty-three billion, four hundred ninety-four million, nine hundred eighty-eight thousand, eight hundred".