20004338581500 has 768 divisors, whose sum is σ = 73807736131584. Its totient is φ = 4096894464000.

The previous prime is 20004338581483. The next prime is 20004338581541. The reversal of 20004338581500 is 518583340002.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2237367030 + ... + 2237375970.

It is an arithmetic number, because the mean of its divisors is an integer number (96103823088).

Almost surely, 2^{20004338581500} is an apocalyptic number.

20004338581500 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 20004338581500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36903868065792).

20004338581500 is an abundant number, since it is smaller than the sum of its proper divisors (53803397550084).

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

20004338581500 is a wasteful number, since it uses less digits than its factorization.

20004338581500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9463 (or 9451 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 20004338581500 in words is "twenty trillion, four billion, three hundred thirty-eight million, five hundred eighty-one thousand, five hundred".