10349723160 has 640 divisors, whose sum is σ = 41469120000. Its totient is φ = 2313577728.

The previous prime is 10349723143. The next prime is 10349723243. The reversal of 10349723160 is 6132794301.

10349723160 is a `hidden beast` number, since 1 + 0 + 3 + 497 + 2 + 3 + 160 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 74458371 + ... + 74458509.

It is an arithmetic number, because the mean of its divisors is an integer number (64795500).

Almost surely, 2^10349723160 is an apocalyptic number.

10349723160 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 10349723160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20734560000).

10349723160 is an abundant number, since it is smaller than the sum of its proper divisors (31119396840).

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

10349723160 is a wasteful number, since it uses less digits than its factorization.

10349723160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 10349723160 in words is "ten billion, three hundred forty-nine million, seven hundred twenty-three thousand, one hundred sixty".