11479717920 has 384 divisors, whose sum is σ = 42552760320. Its totient is φ = 2571264000.

The previous prime is 11479717919. The next prime is 11479717943. The reversal of 11479717920 is 2971797411.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11479717920.

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, 4111725 + ... + 4114515.

It is an arithmetic number, because the mean of its divisors is an integer number (110814480).

Almost surely, 2^11479717920 is an apocalyptic number.

11479717920 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 11479717920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21276380160).

11479717920 is an abundant number, since it is smaller than the sum of its proper divisors (31073042400).

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

11479717920 is a wasteful number, since it uses less digits than its factorization.

11479717920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 48.

The spelling of 11479717920 in words is "eleven billion, four hundred seventy-nine million, seven hundred seventeen thousand, nine hundred twenty".