11788247520 has 720 divisors, whose sum is σ = 50994210960. Its totient is φ = 2550030336.

The previous prime is 11788247467. The next prime is 11788247533. The reversal of 11788247520 is 2574288711.

11788247520 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 82 + 47 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 12065272 + ... + 12066248.

It is an arithmetic number, because the mean of its divisors is an integer number (70825293).

Almost surely, 2^11788247520 is an apocalyptic number.

11788247520 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 11788247520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25497105480).

11788247520 is an abundant number, since it is smaller than the sum of its proper divisors (39205963440).

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

11788247520 is a wasteful number, since it uses less digits than its factorization.

11788247520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 11788247520 in words is "eleven billion, seven hundred eighty-eight million, two hundred forty-seven thousand, five hundred twenty".