20350915200 has 2304 divisors, whose sum is σ = 103814784000. Its totient is φ = 3832012800.

The previous prime is 20350915199. The next prime is 20350915217. The reversal of 20350915200 is 251905302.

20350915200 is a `hidden beast` number, since 2 + 0 + 3 + 50 + 91 + 520 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 884822389 + ... + 884822411.

It is an arithmetic number, because the mean of its divisors is an integer number (45058500).

Almost surely, 2^20350915200 is an apocalyptic number.

20350915200 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 20350915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51907392000).

20350915200 is an abundant number, since it is smaller than the sum of its proper divisors (83463868800).

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

20350915200 is a wasteful number, since it uses less digits than its factorization.

20350915200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 20350915200 in words is "twenty billion, three hundred fifty million, nine hundred fifteen thousand, two hundred".