162106660800 has 1512 divisors, whose sum is σ = 710985160704. Its totient is φ = 36212520960.

The previous prime is 162106660789. The next prime is 162106660831. The reversal of 162106660800 is 8066601261.

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1276430337 + ... + 1276430463.

Almost surely, 2^162106660800 is an apocalyptic number.

162106660800 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 162106660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355492580352).

162106660800 is an abundant number, since it is smaller than the sum of its proper divisors (548878499904).

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

162106660800 is a wasteful number, since it uses less digits than its factorization.

162106660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 162106660800 in words is "one hundred sixty-two billion, one hundred six million, six hundred sixty thousand, eight hundred".