10004902272 has 160 divisors (see below), whose sum is σ = 29879241480. Its totient is φ = 3323234304.

The previous prime is 10004902249. The next prime is 10004902289. The reversal of 10004902272 is 27220940001.

10004902272 is a `hidden beast` number, since 100 + 0 + 490 + 2 + 2 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3243643 + ... + 3246725.

Almost surely, 2^10004902272 is an apocalyptic number.

10004902272 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 10004902272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14939620740).

10004902272 is an abundant number, since it is smaller than the sum of its proper divisors (19874339208).

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

10004902272 is an equidigital number, since it uses as much as digits as its factorization.

10004902272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 10004902272 in words is "ten billion, four million, nine hundred two thousand, two hundred seventy-two".