542132864520 has 256 divisors, whose sum is σ = 1811560826880. Its totient is φ = 128889446400.

The previous prime is 542132864501. The next prime is 542132864531. The reversal of 542132864520 is 25468231245.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25184802 + ... + 25206318.

It is an arithmetic number, because the mean of its divisors is an integer number (7076409480).

Almost surely, 2^542132864520 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 542132864520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905780413440).

542132864520 is an abundant number, since it is smaller than the sum of its proper divisors (1269427962360).

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

542132864520 is a wasteful number, since it uses less digits than its factorization.

542132864520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22096 (or 22092 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 542132864520 in words is "five hundred forty-two billion, one hundred thirty-two million, eight hundred sixty-four thousand, five hundred twenty".