164012037120 has 1056 divisors, whose sum is σ = 631970801280. Its totient is φ = 39176110080.

The previous prime is 164012037047. The next prime is 164012037131. The reversal of 164012037120 is 21730210461.

164012037120 is a `hidden beast` number, since 1 + 640 + 1 + 2 + 0 + 3 + 7 + 12 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1976048599 + ... + 1976048681.

Almost surely, 2^164012037120 is an apocalyptic number.

164012037120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164012037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315985400640).

164012037120 is an abundant number, since it is smaller than the sum of its proper divisors (467958764160).

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

164012037120 is a wasteful number, since it uses less digits than its factorization.

164012037120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 164012037120 its reverse (21730210461), we get a palindrome (185742247581).

The spelling of 164012037120 in words is "one hundred sixty-four billion, twelve million, thirty-seven thousand, one hundred twenty".