542537856 has 192 divisors, whose sum is σ = 1878676800. Its totient is φ = 146810880.

The previous prime is 542537833. The next prime is 542537899. The reversal of 542537856 is 658735245.

542537856 is a `hidden beast` number, since 542 + 53 + 7 + 8 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151446 + ... + 154986.

It is an arithmetic number, because the mean of its divisors is an integer number (9784775).

Almost surely, 2^542537856 is an apocalyptic number.

542537856 is a gapful number since it is divisible by the number (56) 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 542537856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939338400).

542537856 is an abundant number, since it is smaller than the sum of its proper divisors (1336138944).

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

542537856 is a wasteful number, since it uses less digits than its factorization.

542537856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587 (or 3572 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 542537856 is about 23292.4420359910. The cubic root of 542537856 is about 815.5989955861.

The spelling of 542537856 in words is "five hundred forty-two million, five hundred thirty-seven thousand, eight hundred fifty-six".