542285295552 has 840 divisors, whose sum is σ = 2197015072560. Its totient is φ = 130009743360.

The previous prime is 542285295551. The next prime is 542285295571. The reversal of 542285295552 is 255592582245.

It is a happy number.

542285295552 is a `hidden beast` number, since 5 + 4 + 2 + 2 + 85 + 2 + 9 + 5 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542285295551) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 36316824 + ... + 36331752.

It is an arithmetic number, because the mean of its divisors is an integer number (2615494134).

Almost surely, 2^542285295552 is an apocalyptic number.

542285295552 is a gapful number since it is divisible by the number (52) 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 542285295552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098507536280).

542285295552 is an abundant number, since it is smaller than the sum of its proper divisors (1654729777008).

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

542285295552 is a wasteful number, since it uses less digits than its factorization.

542285295552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14991 (or 14965 counting only the distinct ones).

The product of its digits is 14400000, while the sum is 54.

The spelling of 542285295552 in words is "five hundred forty-two billion, two hundred eighty-five million, two hundred ninety-five thousand, five hundred fifty-two".