11774488320 has 864 divisors, whose sum is σ = 51589742400. Its totient is φ = 2526806016.

The previous prime is 11774488307. The next prime is 11774488333. The reversal of 11774488320 is 2388447711.

11774488320 is a `hidden beast` number, since 1 + 177 + 448 + 8 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11774488307) and next prime (11774488333).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 28788276 + ... + 28788684.

It is an arithmetic number, because the mean of its divisors is an integer number (59710350).

Almost surely, 2^11774488320 is an apocalyptic number.

11774488320 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 11774488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25794871200).

11774488320 is an abundant number, since it is smaller than the sum of its proper divisors (39815254080).

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

11774488320 is a wasteful number, since it uses less digits than its factorization.

11774488320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 11774488320 in words is "eleven billion, seven hundred seventy-four million, four hundred eighty-eight thousand, three hundred twenty".