542370816000 has 1120 divisors, whose sum is σ = 2182036304448. Its totient is φ = 133241241600.

The previous prime is 542370815989. The next prime is 542370816073. The reversal of 542370816000 is 618073245.

542370816000 is a `hidden beast` number, since 5 + 42 + 3 + 7 + 0 + 8 + 1 + 600 + 0 = 666.

It is a super-2 number, since 2×542370816000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1078271749 + ... + 1078272251.

Almost surely, 2^542370816000 is an apocalyptic number.

542370816000 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 542370816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091018152224).

542370816000 is an abundant number, since it is smaller than the sum of its proper divisors (1639665488448).

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

542370816000 is an equidigital number, since it uses as much as digits as its factorization.

542370816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 542370816000 its reverse (618073245), we get a palindrome (542988889245).

It can be divided in two parts, 54 and 2370816000, that multiplied together give a cube (128024064000 = 5040³).

The spelling of 542370816000 in words is "five hundred forty-two billion, three hundred seventy million, eight hundred sixteen thousand".