10272118024 has 64 divisors (see below), whose sum is σ = 22582022400. Its totient is φ = 4288588800.

The previous prime is 10272118019. The next prime is 10272118079. The reversal of 10272118024 is 42081127201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10272117983 and 10272118001.

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, 1744317 + ... + 1750195.

It is an arithmetic number, because the mean of its divisors is an integer number (352844100).

Almost surely, 2^10272118024 is an apocalyptic number.

10272118024 is a gapful number since it is divisible by the number (14) 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 10272118024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11291011200).

10272118024 is an abundant number, since it is smaller than the sum of its proper divisors (12309904376).

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

10272118024 is a wasteful number, since it uses less digits than its factorization.

10272118024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6694 (or 6690 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The spelling of 10272118024 in words is "ten billion, two hundred seventy-two million, one hundred eighteen thousand, twenty-four".