10273753116 has 72 divisors (see below), whose sum is σ = 28366556400. Its totient is φ = 3109313280.

The previous prime is 10273753081. The next prime is 10273753129. The reversal of 10273753116 is 61135737201.

10273753116 is a `hidden beast` number, since 1 + 0 + 273 + 75 + 311 + 6 = 666.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 304330 + ... + 336398.

It is an arithmetic number, because the mean of its divisors is an integer number (393979950).

Almost surely, 2^10273753116 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 10273753116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14183278200).

10273753116 is an abundant number, since it is smaller than the sum of its proper divisors (18092803284).

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

10273753116 is a wasteful number, since it uses less digits than its factorization.

10273753116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32899 (or 32894 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 10273753116 in words is "ten billion, two hundred seventy-three million, seven hundred fifty-three thousand, one hundred sixteen".