10047190272 has 432 divisors, whose sum is σ = 33493082112. Its totient is φ = 2616053760.

The previous prime is 10047190259. The next prime is 10047190393. The reversal of 10047190272 is 27209174001.

10047190272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60162733 + ... + 60162899.

Almost surely, 2^10047190272 is an apocalyptic number.

10047190272 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 10047190272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16746541056).

10047190272 is an abundant number, since it is smaller than the sum of its proper divisors (23445891840).

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

10047190272 is a wasteful number, since it uses less digits than its factorization.

10047190272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The spelling of 10047190272 in words is "ten billion, forty-seven million, one hundred ninety thousand, two hundred seventy-two".