11785967424 has 448 divisors, whose sum is σ = 43489351680. Its totient is φ = 3040727040.

The previous prime is 11785967423. The next prime is 11785967449. The reversal of 11785967424 is 42476958711.

11785967424 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 596 + 7 + 42 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11785967423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37654692 + ... + 37655004.

Almost surely, 2^11785967424 is an apocalyptic number.

11785967424 is a gapful number since it is divisible by the number (14) 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 11785967424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21744675840).

11785967424 is an abundant number, since it is smaller than the sum of its proper divisors (31703384256).

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

11785967424 is a wasteful number, since it uses less digits than its factorization.

11785967424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 619 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 11785967424 in words is "eleven billion, seven hundred eighty-five million, nine hundred sixty-seven thousand, four hundred twenty-four".