164118787920 has 120 divisors (see below), whose sum is σ = 551526533376. Its totient is φ = 43736350464.

The previous prime is 164118787901. The next prime is 164118787927. The reversal of 164118787920 is 29787811461.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164118787927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1037097 + ... + 1184823.

Almost surely, 2^164118787920 is an apocalyptic number.

164118787920 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 164118787920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275763266688).

164118787920 is an abundant number, since it is smaller than the sum of its proper divisors (387407745456).

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

164118787920 is a wasteful number, since it uses less digits than its factorization.

164118787920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149289 (or 149280 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 164118787920 in words is "one hundred sixty-four billion, one hundred eighteen million, seven hundred eighty-seven thousand, nine hundred twenty".