10407068160 has 320 divisors, whose sum is σ = 35708428800. Its totient is φ = 2576351232.

The previous prime is 10407068159. The next prime is 10407068291. The reversal of 10407068160 is 6186070401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10313736 + ... + 10314744.

It is an arithmetic number, because the mean of its divisors is an integer number (111588840).

Almost surely, 2^10407068160 is an apocalyptic number.

10407068160 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 10407068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17854214400).

10407068160 is an abundant number, since it is smaller than the sum of its proper divisors (25301360640).

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

10407068160 is a wasteful number, since it uses less digits than its factorization.

10407068160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 10407068160 in words is "ten billion, four hundred seven million, sixty-eight thousand, one hundred sixty".