20365160340 has 192 divisors, whose sum is σ = 66975068160. Its totient is φ = 4526807040.

The previous prime is 20365160293. The next prime is 20365160341. The reversal of 20365160340 is 4306156302.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20365160298 and 20365160307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20365160341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4350121 + ... + 4354799.

It is an arithmetic number, because the mean of its divisors is an integer number (348828480).

Almost surely, 2^20365160340 is an apocalyptic number.

20365160340 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 20365160340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33487534080).

20365160340 is an abundant number, since it is smaller than the sum of its proper divisors (46609907820).

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

20365160340 is a wasteful number, since it uses less digits than its factorization.

20365160340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4982 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 20365160340 in words is "twenty billion, three hundred sixty-five million, one hundred sixty thousand, three hundred forty".