164878915052720 has 320 divisors, whose sum is σ = 434707594076160. Its totient is φ = 57615667200000.

The previous prime is 164878915052713. The next prime is 164878915052737. The reversal of 164878915052720 is 27250519878461.

164878915052720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13844894126 + ... + 13844906034.

It is an arithmetic number, because the mean of its divisors is an integer number (1358461231488).

Almost surely, 2^{164878915052720} is an apocalyptic number.

164878915052720 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 164878915052720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217353797038080).

164878915052720 is an abundant number, since it is smaller than the sum of its proper divisors (269828679023440).

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

164878915052720 is a wasteful number, since it uses less digits than its factorization.

164878915052720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15476 (or 15470 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 65.

The spelling of 164878915052720 in words is "one hundred sixty-four trillion, eight hundred seventy-eight billion, nine hundred fifteen million, fifty-two thousand, seven hundred twenty".