11713680000 has 1280 divisors, whose sum is σ = 51620976000. Its totient is φ = 2580480000.

The previous prime is 11713679969. The next prime is 11713680019. The reversal of 11713680000 is 8631711.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 403919986 + ... + 403920014.

Almost surely, 2^11713680000 is an apocalyptic number.

11713680000 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 11713680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25810488000).

11713680000 is an abundant number, since it is smaller than the sum of its proper divisors (39907296000).

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

11713680000 is a wasteful number, since it uses less digits than its factorization.

11713680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

It can be divided in two parts, 117136 and 80000, that added together give a square (197136 = 444²).

The spelling of 11713680000 in words is "eleven billion, seven hundred thirteen million, six hundred eighty thousand".