20075599684400 has 480 divisors, whose sum is σ = 53162103740928. Its totient is φ = 7240878489600.

The previous prime is 20075599684397. The next prime is 20075599684403. The reversal of 20075599684400 is 448699557002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20075599684397) and next prime (20075599684403).

It is a self number, because there is not a number n which added to its sum of digits gives 20075599684400.

It is not an unprimeable number, because it can be changed into a prime (20075599684403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25509020807 + ... + 25509021593.

Almost surely, 2^{20075599684400} is an apocalyptic number.

20075599684400 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 20075599684400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26581051870464).

20075599684400 is an abundant number, since it is smaller than the sum of its proper divisors (33086504056528).

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

20075599684400 is a wasteful number, since it uses less digits than its factorization.

20075599684400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 59.

The spelling of 20075599684400 in words is "twenty trillion, seventy-five billion, five hundred ninety-nine million, six hundred eighty-four thousand, four hundred".