164021699520 has 896 divisors, whose sum is σ = 701720801280. Its totient is φ = 35254517760.

The previous prime is 164021699519. The next prime is 164021699521. The reversal of 164021699520 is 25996120461.

164021699520 is a `hidden beast` number, since 1 + 6 + 40 + 21 + 69 + 9 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (164021699519) and next prime (164021699521).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164021699521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84852474 + ... + 84854406.

Almost surely, 2^164021699520 is an apocalyptic number.

164021699520 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 164021699520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350860400640).

164021699520 is an abundant number, since it is smaller than the sum of its proper divisors (537699101760).

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

164021699520 is a wasteful number, since it uses less digits than its factorization.

164021699520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 164021699520 in words is "one hundred sixty-four billion, twenty-one million, six hundred ninety-nine thousand, five hundred twenty".