10151086160 has 80 divisors (see below), whose sum is σ = 24265942416. Its totient is φ = 3946328064.

The previous prime is 10151086111. The next prime is 10151086163. The reversal of 10151086160 is 6168015101.

It can be written as a sum of positive squares in 8 ways, for example, as 1207979536 + 8943106624 = 34756^2 + 94568^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10151086163) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4418132 + ... + 4420428.

Almost surely, 2^10151086160 is an apocalyptic number.

10151086160 is a gapful number since it is divisible by the number (10) 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 10151086160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12132971208).

10151086160 is an abundant number, since it is smaller than the sum of its proper divisors (14114856256).

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

10151086160 is a wasteful number, since it uses less digits than its factorization.

10151086160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3840 (or 3834 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 29.

The spelling of 10151086160 in words is "ten billion, one hundred fifty-one million, eighty-six thousand, one hundred sixty".