542665302661200 has 120 divisors (see below), whose sum is σ = 1739511618077376. Its totient is φ = 144613035392000.

The previous prime is 542665302661199. The next prime is 542665302661211. The reversal of 542665302661200 is 2166203566245.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 542665302661200.

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 23 ways as a sum of consecutive naturals, for example, 150897036 + ... + 154451435.

Almost surely, 2^{542665302661200} is an apocalyptic number.

542665302661200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542665302661200 is an abundant number, since it is smaller than the sum of its proper divisors (1196846315416176).

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

542665302661200 is a wasteful number, since it uses less digits than its factorization.

542665302661200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305349973 (or 305349962 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 542665302661200 in words is "five hundred forty-two trillion, six hundred sixty-five billion, three hundred two million, six hundred sixty-one thousand, two hundred".