542013908352 has 512 divisors, whose sum is σ = 1776660480000. Its totient is φ = 142956306432.

The previous prime is 542013908321. The next prime is 542013908357. The reversal of 542013908352 is 253809310245.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542013908357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 837733693 + ... + 837734339.

It is an arithmetic number, because the mean of its divisors is an integer number (3470040000).

Almost surely, 2^542013908352 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 542013908352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888330240000).

542013908352 is an abundant number, since it is smaller than the sum of its proper divisors (1234646571648).

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

542013908352 is a wasteful number, since it uses less digits than its factorization.

542013908352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 542013908352 in words is "five hundred forty-two billion, thirteen million, nine hundred eight thousand, three hundred fifty-two".