542061209355264 has 231 divisors, whose sum is σ = 1624706680646847. Its totient is φ = 180680364509184.

The previous prime is 542061209355257. The next prime is 542061209355293. The reversal of 542061209355264 is 462553902160245.

The square root of 542061209355264 is 23282208.

It is a perfect power (a square), and thus also a powerful number.

542061209355264 is a `hidden beast` number, since 5 + 4 + 2 + 0 + 6 + 1 + 20 + 9 + 3 + 552 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 542061209355264.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 20115814239 + ... + 20115841185.

Almost surely, 2^{542061209355264} is an apocalyptic number.

542061209355264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

542061209355264 is the 23282208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542061209355264

542061209355264 is an abundant number, since it is smaller than the sum of its proper divisors (1082645471291583).

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

542061209355264 is an frugal number, since it uses more digits than its factorization.

542061209355264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53932 (or 26952 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 542061209355264 in words is "five hundred forty-two trillion, sixty-one billion, two hundred nine million, three hundred fifty-five thousand, two hundred sixty-four".