20378001600 has 1344 divisors, whose sum is σ = 89045491200. Its totient is φ = 4478976000.

The previous prime is 20378001577. The next prime is 20378001601. The reversal of 20378001600 is 610087302.

20378001600 is a `hidden beast` number, since 20 + 37 + 8 + 0 + 0 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20378001601) 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 191 ways as a sum of consecutive naturals, for example, 334065570 + ... + 334065630.

Almost surely, 2^20378001600 is an apocalyptic number.

20378001600 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 20378001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44522745600).

20378001600 is an abundant number, since it is smaller than the sum of its proper divisors (68667489600).

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

20378001600 is a wasteful number, since it uses less digits than its factorization.

20378001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 20378001600 its reverse (610087302), we get a palindrome (20988088902).

The spelling of 20378001600 in words is "twenty billion, three hundred seventy-eight million, one thousand, six hundred".