542162964800 has 84 divisors (see below), whose sum is σ = 1334736968316. Its totient is φ = 216755097600.

The previous prime is 542162964769. The next prime is 542162964829. The reversal of 542162964800 is 8469261245.

It can be written as a sum of positive squares in 6 ways, for example, as 78287104 + 542084677696 = 8848^2 + 736264^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3103790 + ... + 3273810.

Almost surely, 2^542162964800 is an apocalyptic number.

542162964800 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 542162964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667368484158).

542162964800 is an abundant number, since it is smaller than the sum of its proper divisors (792574003516).

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

542162964800 is a wasteful number, since it uses less digits than its factorization.

542162964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172036 (or 172021 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The spelling of 542162964800 in words is "five hundred forty-two billion, one hundred sixty-two million, nine hundred sixty-four thousand, eight hundred".