164017499520 has 512 divisors, whose sum is σ = 609140736000. Its totient is φ = 36765720576.

The previous prime is 164017499507. The next prime is 164017499537. The reversal of 164017499520 is 25994710461.

It is a happy number.

164017499520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 164017499520.

It is a congruent number.

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, 190054609 + ... + 190055471.

It is an arithmetic number, because the mean of its divisors is an integer number (1189728000).

Almost surely, 2^164017499520 is an apocalyptic number.

164017499520 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 164017499520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304570368000).

164017499520 is an abundant number, since it is smaller than the sum of its proper divisors (445123236480).

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

164017499520 is a wasteful number, since it uses less digits than its factorization.

164017499520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 164017499520 in words is "one hundred sixty-four billion, seventeen million, four hundred ninety-nine thousand, five hundred twenty".