10218742272 has 200 divisors, whose sum is σ = 30896236800. Its totient is φ = 3362052096.

The previous prime is 10218742253. The next prime is 10218742309. The reversal of 10218742272 is 27224781201.

10218742272 is a `hidden beast` number, since 10 + 218 + 7 + 422 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3274729 + ... + 3277847.

It is an arithmetic number, because the mean of its divisors is an integer number (154481184).

Almost surely, 2^10218742272 is an apocalyptic number.

10218742272 is a gapful number since it is divisible by the number (12) 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 10218742272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15448118400).

10218742272 is an abundant number, since it is smaller than the sum of its proper divisors (20677494528).

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

10218742272 is an frugal number, since it uses more digits than its factorization.

10218742272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3228 (or 3203 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 10218742272 in words is "ten billion, two hundred eighteen million, seven hundred forty-two thousand, two hundred seventy-two".