10156862160 has 400 divisors, whose sum is σ = 37679905296. Its totient is φ = 2526806016.

The previous prime is 10156862153. The next prime is 10156862161. The reversal of 10156862160 is 6126865101.

10156862160 is a `hidden beast` number, since 10 + 1 + 568 + 6 + 21 + 60 = 666.

10156862160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 10732176 + 10146129984 = 3276^2 + 100728^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10156862161) 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 79 ways as a sum of consecutive naturals, for example, 15091584 + ... + 15092256.

Almost surely, 2^10156862160 is an apocalyptic number.

10156862160 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 10156862160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18839952648).

10156862160 is an abundant number, since it is smaller than the sum of its proper divisors (27523043136).

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

10156862160 is a wasteful number, since it uses less digits than its factorization.

10156862160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10156862160 in words is "ten billion, one hundred fifty-six million, eight hundred sixty-two thousand, one hundred sixty".