542033253120 has 144 divisors (see below), whose sum is σ = 1732014305280. Its totient is φ = 144467423232.

The previous prime is 542033253061. The next prime is 542033253133. The reversal of 542033253120 is 21352330245.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7594561 + ... + 7665599.

It is an arithmetic number, because the mean of its divisors is an integer number (12027877120).

Almost surely, 2^542033253120 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 542033253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866007152640).

542033253120 is an abundant number, since it is smaller than the sum of its proper divisors (1189981052160).

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

542033253120 is a wasteful number, since it uses less digits than its factorization.

542033253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73050 (or 73036 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 542033253120 its reverse (21352330245), we get a palindrome (563385583365).

The spelling of 542033253120 in words is "five hundred forty-two billion, thirty-three million, two hundred fifty-three thousand, one hundred twenty".