10052095216 has 40 divisors (see below), whose sum is σ = 20138238848. Its totient is φ = 4855680000.

The previous prime is 10052095211. The next prime is 10052095231. The reversal of 10052095216 is 61259025001.

10052095216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10052095211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 281236 + ... + 314956.

Almost surely, 2^10052095216 is an apocalyptic number.

10052095216 is a gapful number since it is divisible by the number (16) 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 10052095216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10069119424).

10052095216 is an abundant number, since it is smaller than the sum of its proper divisors (10086143632).

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

10052095216 is a wasteful number, since it uses less digits than its factorization.

10052095216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34361 (or 34355 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 10052095216 in words is "ten billion, fifty-two million, ninety-five thousand, two hundred sixteen".