542002298760 has 768 divisors, whose sum is σ = 2016705600000. Its totient is φ = 125301915648.

The previous prime is 542002298743. The next prime is 542002298779. The reversal of 542002298760 is 67892200245.

542002298760 is a `hidden beast` number, since 542 + 0 + 0 + 2 + 29 + 87 + 6 + 0 = 666.

It is a super-2 number, since 2×542002298760² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 904844941 + ... + 904845539.

It is an arithmetic number, because the mean of its divisors is an integer number (2625918750).

Almost surely, 2^542002298760 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 542002298760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008352800000).

542002298760 is an abundant number, since it is smaller than the sum of its proper divisors (1474703301240).

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

542002298760 is a wasteful number, since it uses less digits than its factorization.

542002298760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 542002298760 in words is "five hundred forty-two billion, two million, two hundred ninety-eight thousand, seven hundred sixty".