10607708160 has 1008 divisors, whose sum is σ = 45922067100. Its totient is φ = 2341011456.

The previous prime is 10607708063. The next prime is 10607708171. The reversal of 10607708160 is 6180770601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10571129856 + 36578304 = 102816^2 + 6048^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×10607708160² (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 83 ways as a sum of consecutive naturals, for example, 365783026 + ... + 365783054.

Almost surely, 2^10607708160 is an apocalyptic number.

10607708160 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 10607708160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22961033550).

10607708160 is an abundant number, since it is smaller than the sum of its proper divisors (35314358940).

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

10607708160 is an frugal number, since it uses more digits than its factorization.

10607708160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 10607708160 in words is "ten billion, six hundred seven million, seven hundred eight thousand, one hundred sixty".