542120415615 has 96 divisors (see below), whose sum is σ = 977285088000. Its totient is φ = 277669969920.

The previous prime is 542120415593. The next prime is 542120415623. The reversal of 542120415615 is 516514021245.

542120415615 is a `hidden beast` number, since 5 + 4 + 2 + 1 + 20 + 4 + 15 + 615 = 666.

It is not a de Polignac number, because 542120415615 - 2¹¹ = 542120413567 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 542120415615.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215040555 + ... + 215043075.

It is an arithmetic number, because the mean of its divisors is an integer number (10180053000).

Almost surely, 2^542120415615 is an apocalyptic number.

542120415615 is a deficient number, since it is larger than the sum of its proper divisors (435164672385).

542120415615 is a wasteful number, since it uses less digits than its factorization.

542120415615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 542120415615 in words is "five hundred forty-two billion, one hundred twenty million, four hundred fifteen thousand, six hundred fifteen".