10368056160 has 768 divisors, whose sum is σ = 45984153600. Its totient is φ = 2119219200.

The previous prime is 10368056159. The next prime is 10368056161. The reversal of 10368056160 is 6165086301.

It is a happy number.

10368056160 is a `hidden beast` number, since 1 + 0 + 36 + 8 + 0 + 5 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10368056159) and next prime (10368056161).

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 (10368056161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23617221 + ... + 23617659.

It is an arithmetic number, because the mean of its divisors is an integer number (59875200).

Almost surely, 2^10368056160 is an apocalyptic number.

10368056160 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 10368056160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22992076800).

10368056160 is an abundant number, since it is smaller than the sum of its proper divisors (35616097440).

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

10368056160 is a wasteful number, since it uses less digits than its factorization.

10368056160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10368056160 in words is "ten billion, three hundred sixty-eight million, fifty-six thousand, one hundred sixty".