20038115328000 has 1088 divisors, whose sum is σ = 83149261378560. Its totient is φ = 4163371008000.

The previous prime is 20038115327977. The next prime is 20038115328031. The reversal of 20038115328000 is 82351183002.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 1892346706 + ... + 1892357294.

Almost surely, 2^{20038115328000} is an apocalyptic number.

20038115328000 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 20038115328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41574630689280).

20038115328000 is an abundant number, since it is smaller than the sum of its proper divisors (63111146050560).

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

20038115328000 is an equidigital number, since it uses as much as digits as its factorization.

20038115328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10657 (or 10617 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 20038115328000 in words is "twenty trillion, thirty-eight billion, one hundred fifteen million, three hundred twenty-eight thousand".