542661705600 has 1536 divisors, whose sum is σ = 2377904947200. Its totient is φ = 105690562560.

The previous prime is 542661705589. The next prime is 542661705613. The reversal of 542661705600 is 6507166245.

542661705600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 499228257 + ... + 499229343.

It is an arithmetic number, because the mean of its divisors is an integer number (1548115200).

Almost surely, 2^542661705600 is an apocalyptic number.

542661705600 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 542661705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188952473600).

542661705600 is an abundant number, since it is smaller than the sum of its proper divisors (1835243241600).

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

542661705600 is a wasteful number, since it uses less digits than its factorization.

542661705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 542661705600 in words is "five hundred forty-two billion, six hundred sixty-one million, seven hundred five thousand, six hundred".