20075014130304 has 256 divisors, whose sum is σ = 62420706754560. Its totient is φ = 5596809523200.

The previous prime is 20075014130231. The next prime is 20075014130309. The reversal of 20075014130304 is 40303141057002.

It is a happy number.

It is a super-2 number, since 2×20075014130304² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20075014130309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117926209 + ... + 118096319.

It is an arithmetic number, because the mean of its divisors is an integer number (243830885760).

Almost surely, 2^{20075014130304} is an apocalyptic number.

20075014130304 is a gapful number since it is divisible by the number (24) 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 20075014130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31210353377280).

20075014130304 is an abundant number, since it is smaller than the sum of its proper divisors (42345692624256).

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

20075014130304 is a wasteful number, since it uses less digits than its factorization.

20075014130304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171199 (or 171187 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

Adding to 20075014130304 its reverse (40303141057002), we get a palindrome (60378155187306).

The spelling of 20075014130304 in words is "twenty trillion, seventy-five billion, fourteen million, one hundred thirty thousand, three hundred four".