542263747522000 has 320 divisors, whose sum is σ = 1598983876339200. Its totient is φ = 173720990822400.

The previous prime is 542263747521997. The next prime is 542263747522051. The reversal of 542263747522000 is 225747362245.

It is a super-2 number, since 2×542263747522000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5455086 + ... + 33380914.

It is an arithmetic number, because the mean of its divisors is an integer number (4996824613560).

Almost surely, 2^{542263747522000} is an apocalyptic number.

542263747522000 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 542263747522000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799491938169600).

542263747522000 is an abundant number, since it is smaller than the sum of its proper divisors (1056720128817200).

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

542263747522000 is a wasteful number, since it uses less digits than its factorization.

542263747522000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27925951 (or 27925935 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 49.

The spelling of 542263747522000 in words is "five hundred forty-two trillion, two hundred sixty-three billion, seven hundred forty-seven million, five hundred twenty-two thousand".