10218499200 has 864 divisors, whose sum is σ = 45759610260. Its totient is φ = 2152120320.

The previous prime is 10218499183. The next prime is 10218499201. The reversal of 10218499200 is 299481201.

It can be written as a sum of positive squares in 6 ways, for example, as 427000896 + 9791498304 = 20664^2 + 98952^2 .

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 (10218499201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18345322 + ... + 18345878.

Almost surely, 2^10218499200 is an apocalyptic number.

10218499200 is a gapful number since it is divisible by the number (10) 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 10218499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22879805130).

10218499200 is an abundant number, since it is smaller than the sum of its proper divisors (35541111060).

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

10218499200 is a wasteful number, since it uses less digits than its factorization.

10218499200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 10218499200 in words is "ten billion, two hundred eighteen million, four hundred ninety-nine thousand, two hundred".