10671719328 has 96 divisors (see below), whose sum is σ = 31552416000. Its totient is φ = 3508489728.

The previous prime is 10671719327. The next prime is 10671719329. The reversal of 10671719328 is 82391717601.

It is an interprime number because it is at equal distance from previous prime (10671719327) and next prime (10671719329).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10671719328² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10671719321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21528 + ... + 147671.

It is an arithmetic number, because the mean of its divisors is an integer number (328671000).

Almost surely, 2^10671719328 is an apocalyptic number.

10671719328 is a gapful number since it is divisible by the number (18) 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 10671719328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15776208000).

10671719328 is an abundant number, since it is smaller than the sum of its proper divisors (20880696672).

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

10671719328 is a wasteful number, since it uses less digits than its factorization.

10671719328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169291 (or 169277 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 10671719328 in words is "ten billion, six hundred seventy-one million, seven hundred nineteen thousand, three hundred twenty-eight".