542406656600 has 72 divisors (see below), whose sum is σ = 1269143399460. Its totient is φ = 215578739520.

The previous prime is 542406656593. The next prime is 542406656639. The reversal of 542406656600 is 6656604245.

It is a happy number.

It is a super-2 number, since 2×542406656600² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 132973361 + ... + 132977439.

Almost surely, 2^542406656600 is an apocalyptic number.

542406656600 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 542406656600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634571699730).

542406656600 is an abundant number, since it is smaller than the sum of its proper divisors (726736742860).

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

542406656600 is an equidigital number, since it uses as much as digits as its factorization.

542406656600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8337 (or 4249 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 44.

The spelling of 542406656600 in words is "five hundred forty-two billion, four hundred six million, six hundred fifty-six thousand, six hundred".