10671860160 has 1008 divisors, whose sum is σ = 45352996416. Its totient is φ = 2364899328.

The previous prime is 10671860153. The next prime is 10671860189. The reversal of 10671860160 is 6106817601.

It is a super-2 number, since 2×10671860160² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 463993909 + ... + 463993931.

It is an arithmetic number, because the mean of its divisors is an integer number (44993052).

Almost surely, 2^10671860160 is an apocalyptic number.

10671860160 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 10671860160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22676498208).

10671860160 is an abundant number, since it is smaller than the sum of its proper divisors (34681136256).

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

10671860160 is an equidigital number, since it uses as much as digits as its factorization.

10671860160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10671860160 in words is "ten billion, six hundred seventy-one million, eight hundred sixty thousand, one hundred sixty".