542202005074761 has 72 divisors (see below), whose sum is σ = 855765145956864. Its totient is φ = 330553662082560.

The previous prime is 542202005074699. The next prime is 542202005074781. The reversal of 542202005074761 is 167470500202245.

542202005074761 is a `hidden beast` number, since 5 + 4 + 2 + 20 + 20 + 0 + 507 + 47 + 61 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-542202005074761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (542202005074781) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8671215 + ... + 34052811.

Almost surely, 2^{542202005074761} is an apocalyptic number.

542202005074761 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

542202005074761 is a deficient number, since it is larger than the sum of its proper divisors (313563140882103).

542202005074761 is a wasteful number, since it uses less digits than its factorization.

542202005074761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25381871 (or 25381851 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 542202005074761 in words is "five hundred forty-two trillion, two hundred two billion, five million, seventy-four thousand, seven hundred sixty-one".