20031017160 has 256 divisors, whose sum is σ = 76336680960. Its totient is φ = 4083655680.

The previous prime is 20031017137. The next prime is 20031017173. The reversal of 20031017160 is 6171013002.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 469269 + ... + 510171.

It is an arithmetic number, because the mean of its divisors is an integer number (298190160).

Almost surely, 2^20031017160 is an apocalyptic number.

20031017160 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 20031017160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38168340480).

20031017160 is an abundant number, since it is smaller than the sum of its proper divisors (56305663800).

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

20031017160 is a wasteful number, since it uses less digits than its factorization.

20031017160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40988 (or 40984 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

It can be divided in two parts, 200310 and 17160, that added together give a triangular number (217470 = T₆₅₉).

The spelling of 20031017160 in words is "twenty billion, thirty-one million, seventeen thousand, one hundred sixty".