164503150260120 has 192 divisors, whose sum is σ = 613097067885120. Its totient is φ = 37472389788672.

The previous prime is 164503150260089. The next prime is 164503150260139. The reversal of 164503150260120 is 21062051305461.

164503150260120 is a `hidden beast` number, since 1 + 6 + 4 + 50 + 31 + 502 + 60 + 12 + 0 = 666.

It is a super-2 number, since 2×164503150260120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110659299 + ... + 112136018.

It is an arithmetic number, because the mean of its divisors is an integer number (3193213895235).

Almost surely, 2^{164503150260120} is an apocalyptic number.

164503150260120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164503150260120 is an abundant number, since it is smaller than the sum of its proper divisors (448593917625000).

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

164503150260120 is a wasteful number, since it uses less digits than its factorization.

164503150260120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222795634 (or 222795627 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 164503150260120 in words is "one hundred sixty-four trillion, five hundred three billion, one hundred fifty million, two hundred sixty thousand, one hundred twenty".