11787004152 has 192 divisors, whose sum is σ = 39869107200. Its totient is φ = 3056267520.

The previous prime is 11787004139. The next prime is 11787004157. The reversal of 11787004152 is 25140078711.

11787004152 is a `hidden beast` number, since 1 + 178 + 70 + 0 + 415 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11787004157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3984658 + ... + 3987614.

It is an arithmetic number, because the mean of its divisors is an integer number (207651600).

Almost surely, 2^11787004152 is an apocalyptic number.

11787004152 is a gapful number since it is divisible by the number (12) 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 11787004152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19934553600).

11787004152 is an abundant number, since it is smaller than the sum of its proper divisors (28082103048).

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

11787004152 is a wasteful number, since it uses less digits than its factorization.

11787004152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3706 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 11787004152 in words is "eleven billion, seven hundred eighty-seven million, four thousand, one hundred fifty-two".