10723286160 has 120 divisors (see below), whose sum is σ = 36037098240. Its totient is φ = 2857579776.

The previous prime is 10723286143. The next prime is 10723286173. The reversal of 10723286160 is 6168232701.

10723286160 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 32 + 8 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10723286160² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1262247 + ... + 1270713.

It is an arithmetic number, because the mean of its divisors is an integer number (300309152).

Almost surely, 2^10723286160 is an apocalyptic number.

10723286160 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 10723286160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18018549120).

10723286160 is an abundant number, since it is smaller than the sum of its proper divisors (25313812080).

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

10723286160 is a wasteful number, since it uses less digits than its factorization.

10723286160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10245 (or 10236 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10723286160 in words is "ten billion, seven hundred twenty-three million, two hundred eighty-six thousand, one hundred sixty".