11793492480 has 960 divisors, whose sum is σ = 49634323200. Its totient is φ = 2384363520.

The previous prime is 11793492461. The next prime is 11793492563. The reversal of 11793492480 is 8429439711.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 318743022 + ... + 318743058.

It is an arithmetic number, because the mean of its divisors is an integer number (51702420).

Almost surely, 2^11793492480 is an apocalyptic number.

11793492480 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 11793492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24817161600).

11793492480 is an abundant number, since it is smaller than the sum of its proper divisors (37840830720).

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

11793492480 is an equidigital number, since it uses as much as digits as its factorization.

11793492480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 11793492480 in words is "eleven billion, seven hundred ninety-three million, four hundred ninety-two thousand, four hundred eighty".