11673910560 has 384 divisors, whose sum is σ = 42308904960. Its totient is φ = 2683699200.

The previous prime is 11673910541. The next prime is 11673910571. The reversal of 11673910560 is 6501937611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5608720 + ... + 5610800.

It is an arithmetic number, because the mean of its divisors is an integer number (110179440).

Almost surely, 2^11673910560 is an apocalyptic number.

11673910560 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 11673910560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21154452480).

11673910560 is an abundant number, since it is smaller than the sum of its proper divisors (30634994400).

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

11673910560 is a wasteful number, since it uses less digits than its factorization.

11673910560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The spelling of 11673910560 in words is "eleven billion, six hundred seventy-three million, nine hundred ten thousand, five hundred sixty".