542501076812700 has 576 divisors, whose sum is σ = 1686346066944000. Its totient is φ = 134242278635520.

The previous prime is 542501076812657. The next prime is 542501076812707. The reversal of 542501076812700 is 7218670105245.

It is a self number, because there is not a number n which added to its sum of digits gives 542501076812700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542501076812707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 145559718237 + ... + 145559721963.

It is an arithmetic number, because the mean of its divisors is an integer number (2927684144000).

Almost surely, 2^{542501076812700} is an apocalyptic number.

542501076812700 is a gapful number since it is divisible by the number (50) 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 542501076812700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843173033472000).

542501076812700 is an abundant number, since it is smaller than the sum of its proper divisors (1143844990131300).

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

542501076812700 is a wasteful number, since it uses less digits than its factorization.

542501076812700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5274 (or 5267 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 542501076812700 in words is "five hundred forty-two trillion, five hundred one billion, seventy-six million, eight hundred twelve thousand, seven hundred".