10948671360 has 192 divisors, whose sum is σ = 41244381360. Its totient is φ = 2654208000.

The previous prime is 10948671353. The next prime is 10948671373. The reversal of 10948671360 is 6317684901.

It is a happy number.

10948671360 is a `hidden beast` number, since 109 + 486 + 7 + 1 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23041 + ... + 149760.

Almost surely, 2^10948671360 is an apocalyptic number.

10948671360 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 10948671360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20622190680).

10948671360 is an abundant number, since it is smaller than the sum of its proper divisors (30295710000).

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

10948671360 is a wasteful number, since it uses less digits than its factorization.

10948671360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172837 (or 172822 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10948671360 in words is "ten billion, nine hundred forty-eight million, six hundred seventy-one thousand, three hundred sixty".