542615162281920 has 8064 divisors, whose sum is σ = 2724678615859200. Its totient is φ = 97519848652800.

The previous prime is 542615162281883. The next prime is 542615162281943. The reversal of 542615162281920 is 29182261516245.

It is a happy number.

542615162281920 is a `hidden beast` number, since 5 + 4 + 2 + 6 + 1 + 5 + 1 + 622 + 8 + 1 + 9 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 1151 ways as a sum of consecutive naturals, for example, 2002269971385 + ... + 2002269971655.

It is an arithmetic number, because the mean of its divisors is an integer number (337881772800).

Almost surely, 2^{542615162281920} 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 542615162281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362339307929600).

542615162281920 is an abundant number, since it is smaller than the sum of its proper divisors (2182063453577280).

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

542615162281920 is a wasteful number, since it uses less digits than its factorization.

542615162281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 542615162281920 in words is "five hundred forty-two trillion, six hundred fifteen billion, one hundred sixty-two million, two hundred eighty-one thousand, nine hundred twenty".