10279630116 has 288 divisors, whose sum is σ = 32702342400. Its totient is φ = 2656281600.

The previous prime is 10279630111. The next prime is 10279630169. The reversal of 10279630116 is 61103697201.

10279630116 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 9 + 630 + 1 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10279630111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14023686 + ... + 14024418.

It is an arithmetic number, because the mean of its divisors is an integer number (113549800).

Almost surely, 2^10279630116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10279630116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16351171200).

10279630116 is an abundant number, since it is smaller than the sum of its proper divisors (22422712284).

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

10279630116 is a wasteful number, since it uses less digits than its factorization.

10279630116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 10279630116 in words is "ten billion, two hundred seventy-nine million, six hundred thirty thousand, one hundred sixteen".