10051291272 has 128 divisors (see below), whose sum is σ = 28812672000. Its totient is φ = 2892215040.

The previous prime is 10051291253. The next prime is 10051291297. The reversal of 10051291272 is 27219215001.

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 31 ways as a sum of consecutive naturals, for example, 838054 + ... + 849962.

It is an arithmetic number, because the mean of its divisors is an integer number (225099000).

Almost surely, 2^10051291272 is an apocalyptic number.

10051291272 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 10051291272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14406336000).

10051291272 is an abundant number, since it is smaller than the sum of its proper divisors (18761380728).

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

10051291272 is a wasteful number, since it uses less digits than its factorization.

10051291272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12091 (or 12087 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The spelling of 10051291272 in words is "ten billion, fifty-one million, two hundred ninety-one thousand, two hundred seventy-two".