20311239640320 has 648 divisors, whose sum is σ = 74305286703648. Its totient is φ = 5119592325120.

The previous prime is 20311239640309. The next prime is 20311239640357. The reversal of 20311239640320 is 2304693211302.

20311239640320 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 1 + 2 + 3 + 9 + 640 + 3 + 2 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 476019627 + ... + 476062293.

Almost surely, 2^{20311239640320} is an apocalyptic number.

20311239640320 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 20311239640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37152643351824).

20311239640320 is an abundant number, since it is smaller than the sum of its proper divisors (53994047063328).

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

20311239640320 is a wasteful number, since it uses less digits than its factorization.

20311239640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42799 (or 42751 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 20311239640320 in words is "twenty trillion, three hundred eleven billion, two hundred thirty-nine million, six hundred forty thousand, three hundred twenty".