11774538720 has 288 divisors, whose sum is σ = 46097408448. Its totient is φ = 2680971264.

The previous prime is 11774538707. The next prime is 11774538739. The reversal of 11774538720 is 2783547711.

11774538720 is a `hidden beast` number, since 1 + 177 + 453 + 8 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 2790052 + ... + 2794268.

It is an arithmetic number, because the mean of its divisors is an integer number (160060446).

Almost surely, 2^11774538720 is an apocalyptic number.

11774538720 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 11774538720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23048704224).

11774538720 is an abundant number, since it is smaller than the sum of its proper divisors (34322869728).

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

11774538720 is a wasteful number, since it uses less digits than its factorization.

11774538720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4522 (or 4511 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 11774538720 in words is "eleven billion, seven hundred seventy-four million, five hundred thirty-eight thousand, seven hundred twenty".