11785036032 has 720 divisors, whose sum is σ = 44898209664. Its totient is φ = 3010867200.

The previous prime is 11785036013. The next prime is 11785036051. The reversal of 11785036032 is 23063058711.

11785036032 is a `hidden beast` number, since 117 + 8 + 503 + 6 + 0 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (11785036013) and next prime (11785036051).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 193197282 + ... + 193197342.

Almost surely, 2^11785036032 is an apocalyptic number.

11785036032 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 11785036032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22449104832).

11785036032 is an abundant number, since it is smaller than the sum of its proper divisors (33113173632).

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

11785036032 is an frugal number, since it uses more digits than its factorization.

11785036032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 11785036032 in words is "eleven billion, seven hundred eighty-five million, thirty-six thousand, thirty-two".