10005272000 has 112 divisors (see below), whose sum is σ = 24830458848. Its totient is φ = 3993651200.

The previous prime is 10005271981. The next prime is 10005272023. The reversal of 10005272000 is 27250001.

It is a self number, because there is not a number n which added to its sum of digits gives 10005272000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4934987 + ... + 4937013.

Almost surely, 2^10005272000 is an apocalyptic number.

10005272000 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 10005272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12415229424).

10005272000 is an abundant number, since it is smaller than the sum of its proper divisors (14825186848).

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

10005272000 is an equidigital number, since it uses as much as digits as its factorization.

10005272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2671 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The spelling of 10005272000 in words is "ten billion, five million, two hundred seventy-two thousand".