20350387200 has 1056 divisors, whose sum is σ = 84433345920. Its totient is φ = 4246732800.

The previous prime is 20350387139. The next prime is 20350387201. The reversal of 20350387200 is 278305302.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (20350387201) 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, 186700746 + ... + 186700854.

It is an arithmetic number, because the mean of its divisors is an integer number (79955820).

Almost surely, 2^20350387200 is an apocalyptic number.

20350387200 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 20350387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42216672960).

20350387200 is an abundant number, since it is smaller than the sum of its proper divisors (64082958720).

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

20350387200 is a wasteful number, since it uses less digits than its factorization.

20350387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 160 counting only the distinct ones).

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

It can be divided in two parts, 203503 and 87200, that added together give a triangular number (290703 = T₇₆₂).

The spelling of 20350387200 in words is "twenty billion, three hundred fifty million, three hundred eighty-seven thousand, two hundred".