20075882400 has 432 divisors, whose sum is σ = 83908004544. Its totient is φ = 4588462080.

The previous prime is 20075882381. The next prime is 20075882401. The reversal of 20075882400 is 428857002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20075882401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1353424 + ... + 1368176.

It is an arithmetic number, because the mean of its divisors is an integer number (194231492).

Almost surely, 2^20075882400 is an apocalyptic number.

20075882400 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 20075882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41954002272).

20075882400 is an abundant number, since it is smaller than the sum of its proper divisors (63832122144).

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

20075882400 is a wasteful number, since it uses less digits than its factorization.

20075882400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14795 (or 14770 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 20075882400 in words is "twenty billion, seventy-five million, eight hundred eighty-two thousand, four hundred".