11624987160 has 320 divisors, whose sum is σ = 40105692000. Its totient is φ = 3019161600.

The previous prime is 11624987149. The next prime is 11624987167. The reversal of 11624987160 is 6178942611.

11624987160 is a `hidden beast` number, since 1 + 1 + 624 + 9 + 8 + 7 + 16 + 0 = 666.

11624987160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11624987167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25890616 + ... + 25891064.

Almost surely, 2^11624987160 is an apocalyptic number.

11624987160 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 11624987160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20052846000).

11624987160 is an abundant number, since it is smaller than the sum of its proper divisors (28480704840).

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

11624987160 is a wasteful number, since it uses less digits than its factorization.

11624987160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11624987160 in words is "eleven billion, six hundred twenty-four million, nine hundred eighty-seven thousand, one hundred sixty".