20038062452320 has 288 divisors, whose sum is σ = 52247993728896. Its totient is φ = 7256769822720.

The previous prime is 20038062452273. The next prime is 20038062452327. The reversal of 20038062452320 is 2325426083002.

It is a super-2 number, since 2×20038062452320² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20038062452320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20038062452327) 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, 7879692969 + ... + 7879695511.

It is an arithmetic number, because the mean of its divisors is an integer number (181416644892).

Almost surely, 2^{20038062452320} is an apocalyptic number.

20038062452320 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 20038062452320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26123996864448).

20038062452320 is an abundant number, since it is smaller than the sum of its proper divisors (32209931276576).

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

20038062452320 is a wasteful number, since it uses less digits than its factorization.

20038062452320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4086 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 20038062452320 in words is "twenty trillion, thirty-eight billion, sixty-two million, four hundred fifty-two thousand, three hundred twenty".