20315371128480 has 288 divisors, whose sum is σ = 71083025133120. Its totient is φ = 5280660725760.

The previous prime is 20315371128463. The next prime is 20315371128487. The reversal of 20315371128480 is 8482117351302.

20315371128480 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 53 + 7 + 112 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×20315371128480³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20315371128487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30068616 + ... + 30736824.

It is an arithmetic number, because the mean of its divisors is an integer number (246816059490).

Almost surely, 2^{20315371128480} is an apocalyptic number.

20315371128480 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 20315371128480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35541512566560).

20315371128480 is an abundant number, since it is smaller than the sum of its proper divisors (50767654004640).

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

20315371128480 is a wasteful number, since it uses less digits than its factorization.

20315371128480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668764 (or 668753 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

Adding to 20315371128480 its reverse (8482117351302), we get a palindrome (28797488479782).

The spelling of 20315371128480 in words is "twenty trillion, three hundred fifteen billion, three hundred seventy-one million, one hundred twenty-eight thousand, four hundred eighty".