10786291152 has 360 divisors, whose sum is σ = 35657664192. Its totient is φ = 2750791680.

The previous prime is 10786291151. The next prime is 10786291157. The reversal of 10786291152 is 25119268701.

10786291152 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10786291151) 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 71 ways as a sum of consecutive naturals, for example, 95453848 + ... + 95453960.

Almost surely, 2^10786291152 is an apocalyptic number.

10786291152 is a gapful number since it is divisible by the number (12) 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 10786291152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17828832096).

10786291152 is an abundant number, since it is smaller than the sum of its proper divisors (24871373040).

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

10786291152 is a wasteful number, since it uses less digits than its factorization.

10786291152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 10786291152 in words is "ten billion, seven hundred eighty-six million, two hundred ninety-one thousand, one hundred fifty-two".