20350310400 has 720 divisors, whose sum is σ = 86263697520. Its totient is φ = 4644864000.

The previous prime is 20350310399. The next prime is 20350310417. The reversal of 20350310400 is 401305302.

20350310400 is a `hidden beast` number, since 2 + 0 + 350 + 310 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×20350310400³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29030050 + ... + 29030750.

It is an arithmetic number, because the mean of its divisors is an integer number (119810691).

Almost surely, 2^20350310400 is an apocalyptic number.

20350310400 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 20350310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43131848760).

20350310400 is an abundant number, since it is smaller than the sum of its proper divisors (65913387120).

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

20350310400 is an equidigital number, since it uses as much as digits as its factorization.

20350310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 20350310400 its reverse (401305302), we get a palindrome (20751615702).

The spelling of 20350310400 in words is "twenty billion, three hundred fifty million, three hundred ten thousand, four hundred".