164288503120 has 80 divisors (see below), whose sum is σ = 442518105600. Its totient is φ = 55555863552.

The previous prime is 164288503087. The next prime is 164288503139. The reversal of 164288503120 is 21305882461.

164288503120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1968520 + ... + 2050279.

It is an arithmetic number, because the mean of its divisors is an integer number (5531476320).

Almost surely, 2^164288503120 is an apocalyptic number.

164288503120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164288503120 is an abundant number, since it is smaller than the sum of its proper divisors (278229602480).

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

164288503120 is a wasteful number, since it uses less digits than its factorization.

164288503120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4018892 (or 4018886 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 164288503120 in words is "one hundred sixty-four billion, two hundred eighty-eight million, five hundred three thousand, one hundred twenty".