20099319400512 has 672 divisors, whose sum is σ = 68914567987200. Its totient is φ = 5690838988800.

The previous prime is 20099319400499. The next prime is 20099319400513. The reversal of 20099319400512 is 21500491399002.

20099319400512 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 93 + 1 + 9 + 40 + 0 + 512 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (20099319400513) 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, 495537289 + ... + 495577847.

Almost surely, 2^{20099319400512} is an apocalyptic number.

20099319400512 is a gapful number since it is divisible by the number (22) 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 20099319400512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34457283993600).

20099319400512 is an abundant number, since it is smaller than the sum of its proper divisors (48815248586688).

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

20099319400512 is a wasteful number, since it uses less digits than its factorization.

20099319400512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40680 (or 40635 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 20099319400512 in words is "twenty trillion, ninety-nine billion, three hundred nineteen million, four hundred thousand, five hundred twelve".