11578245120 has 432 divisors, whose sum is σ = 43511543712. Its totient is φ = 2831155200.

The previous prime is 11578245089. The next prime is 11578245139. The reversal of 11578245120 is 2154287511.

It is a happy number.

11578245120 is a `hidden beast` number, since 11 + 57 + 82 + 4 + 512 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76677045 + ... + 76677195.

It is an arithmetic number, because the mean of its divisors is an integer number (100721166).

Almost surely, 2^11578245120 is an apocalyptic number.

11578245120 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 11578245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21755771856).

11578245120 is an abundant number, since it is smaller than the sum of its proper divisors (31933298592).

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

11578245120 is an equidigital number, since it uses as much as digits as its factorization.

11578245120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 11578245120 in words is "eleven billion, five hundred seventy-eight million, two hundred forty-five thousand, one hundred twenty".