20082670917120 has 1920 divisors, whose sum is σ = 88161193929600. Its totient is φ = 4305677451264.

The previous prime is 20082670917059. The next prime is 20082670917151. The reversal of 20082670917120 is 2171907628002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 32761289934 + ... + 32761290546.

It is an arithmetic number, because the mean of its divisors is an integer number (45917288505).

Almost surely, 2^{20082670917120} is an apocalyptic number.

20082670917120 is a gapful number since it is divisible by the number (20) 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 20082670917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44080596964800).

20082670917120 is an abundant number, since it is smaller than the sum of its proper divisors (68078523012480).

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

20082670917120 is a wasteful number, since it uses less digits than its factorization.

20082670917120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 20082670917120 in words is "twenty trillion, eighty-two billion, six hundred seventy million, nine hundred seventeen thousand, one hundred twenty".