120405166535664 has 80 divisors (see below), whose sum is σ = 345612537392800. Its totient is φ = 40134461520384.

The previous prime is 120405166535653. The next prime is 120405166535669. The reversal of 120405166535664 is 466535661504021.

120405166535664 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 0 + 5 + 16 + 65 + 3 + 566 + 4 = 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 120405166535664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120405166535669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27655902 + ... + 31712130.

It is an arithmetic number, because the mean of its divisors is an integer number (4320156717410).

Almost surely, 2^{120405166535664} is an apocalyptic number.

It is an amenable number.

120405166535664 is an abundant number, since it is smaller than the sum of its proper divisors (225207370857136).

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

120405166535664 is a wasteful number, since it uses less digits than its factorization.

120405166535664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124959 (or 4124947 counting only the distinct ones).

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

The spelling of 120405166535664 in words is "one hundred twenty trillion, four hundred five billion, one hundred sixty-six million, five hundred thirty-five thousand, six hundred sixty-four".