164521082880000 has 5700 divisors, whose sum is σ = 813341321239392. Its totient is φ = 32699842560000.

The previous prime is 164521082879941. The next prime is 164521082880013. The reversal of 164521082880000 is 88280125461.

164521082880000 is a `hidden beast` number, since 16 + 452 + 108 + 2 + 8 + 80 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 7153090559989 + ... + 7153090560011.

Almost surely, 2^{164521082880000} is an apocalyptic number.

164521082880000 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 164521082880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406670660619696).

164521082880000 is an abundant number, since it is smaller than the sum of its proper divisors (648820238359392).

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

164521082880000 is an frugal number, since it uses more digits than its factorization.

164521082880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 164521082880000 in words is "one hundred sixty-four trillion, five hundred twenty-one billion, eighty-two million, eight hundred eighty thousand".