20030270988000 has 768 divisors, whose sum is σ = 81021460875264. Its totient is φ = 4212593049600.

The previous prime is 20030270987983. The next prime is 20030270988001. The reversal of 20030270988000 is 88907203002.

It is a super-2 number, since 2×20030270988000² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20030270988000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20030270988001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 341766699 + ... + 341825301.

It is an arithmetic number, because the mean of its divisors is an integer number (105496693848).

Almost surely, 2^{20030270988000} is an apocalyptic number.

20030270988000 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 20030270988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40510730437632).

20030270988000 is an abundant number, since it is smaller than the sum of its proper divisors (60991189887264).

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

20030270988000 is a wasteful number, since it uses less digits than its factorization.

20030270988000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58964 (or 58946 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 20030270988000 in words is "twenty trillion, thirty billion, two hundred seventy million, nine hundred eighty-eight thousand".