11817294720 has 768 divisors, whose sum is σ = 50400403200. Its totient is φ = 2322432000.

The previous prime is 11817294679. The next prime is 11817294721. The reversal of 11817294720 is 2749271811.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11817294721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19662420 + ... + 19663020.

It is an arithmetic number, because the mean of its divisors is an integer number (65625525).

Almost surely, 2^11817294720 is an apocalyptic number.

11817294720 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 11817294720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25200201600).

11817294720 is an abundant number, since it is smaller than the sum of its proper divisors (38583108480).

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

11817294720 is a wasteful number, since it uses less digits than its factorization.

11817294720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The spelling of 11817294720 in words is "eleven billion, eight hundred seventeen million, two hundred ninety-four thousand, seven hundred twenty".