164002783150080 has 2160 divisors, whose sum is σ = 712677808367616. Its totient is φ = 34133539553280.

The previous prime is 164002783150043. The next prime is 164002783150093. The reversal of 164002783150080 is 80051387200461.

164002783150080 is a `hidden beast` number, since 1 + 6 + 40 + 0 + 2 + 78 + 31 + 500 + 8 + 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 143 ways as a sum of consecutive naturals, for example, 46237038867 + ... + 46237042413.

Almost surely, 2^{164002783150080} is an apocalyptic number.

164002783150080 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 164002783150080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356338904183808).

164002783150080 is an abundant number, since it is smaller than the sum of its proper divisors (548675025217536).

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

164002783150080 is a wasteful number, since it uses less digits than its factorization.

164002783150080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3658 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 164002783150080 in words is "one hundred sixty-four trillion, two billion, seven hundred eighty-three million, one hundred fifty thousand, eighty".