542230879680 has 1008 divisors, whose sum is σ = 2250346812480. Its totient is φ = 119391584256.

The previous prime is 542230879667. The next prime is 542230879681. The reversal of 542230879680 is 86978032245.

542230879680 is a `hidden beast` number, since 542 + 2 + 3 + 0 + 8 + 7 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542230879681) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 590022261 + ... + 590023179.

Almost surely, 2^542230879680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542230879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125173406240).

542230879680 is an abundant number, since it is smaller than the sum of its proper divisors (1708115932800).

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

542230879680 is a wasteful number, since it uses less digits than its factorization.

542230879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 542230879680 in words is "five hundred forty-two billion, two hundred thirty million, eight hundred seventy-nine thousand, six hundred eighty".