542528696163840 has 320 divisors, whose sum is σ = 1933073424311040. Its totient is φ = 128997534597120.

The previous prime is 542528696163833. The next prime is 542528696163877. The reversal of 542528696163840 is 48361696825245.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×542528696163840³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106871926 + ... + 111833205.

It is an arithmetic number, because the mean of its divisors is an integer number (6040854450972).

Almost surely, 2^{542528696163840} is an apocalyptic number.

It is an amenable number.

542528696163840 is an abundant number, since it is smaller than the sum of its proper divisors (1390544728147200).

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

542528696163840 is a wasteful number, since it uses less digits than its factorization.

542528696163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218705193 (or 218705177 counting only the distinct ones).

The product of its (nonzero) digits is 597196800, while the sum is 69.

The spelling of 542528696163840 in words is "five hundred forty-two trillion, five hundred twenty-eight billion, six hundred ninety-six million, one hundred sixty-three thousand, eight hundred forty".