542251297280 has 960 divisors, whose sum is σ = 1737932765184. Its totient is φ = 158497996800.

The previous prime is 542251297267. The next prime is 542251297333. The reversal of 542251297280 is 82792152245.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4139322815 + ... + 4139322945.

Almost surely, 2^542251297280 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 542251297280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868966382592).

542251297280 is an abundant number, since it is smaller than the sum of its proper divisors (1195681467904).

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

542251297280 is a wasteful number, since it uses less digits than its factorization.

542251297280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 47.

The spelling of 542251297280 in words is "five hundred forty-two billion, two hundred fifty-one million, two hundred ninety-seven thousand, two hundred eighty".