164311427520 has 168 divisors, whose sum is σ = 568033655904. Its totient is φ = 43593811968.

The previous prime is 164311427509. The next prime is 164311427521. The reversal of 164311427520 is 25724113461.

164311427520 is a `hidden beast` number, since 1 + 64 + 31 + 1 + 42 + 7 + 520 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164311427521) 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, 422557 + ... + 712163.

Almost surely, 2^164311427520 is an apocalyptic number.

164311427520 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 164311427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284016827952).

164311427520 is an abundant number, since it is smaller than the sum of its proper divisors (403722228384).

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

164311427520 is a wasteful number, since it uses less digits than its factorization.

164311427520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289827 (or 289814 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 164311427520 in words is "one hundred sixty-four billion, three hundred eleven million, four hundred twenty-seven thousand, five hundred twenty".