11488970640 has 160 divisors (see below), whose sum is σ = 41804110080. Its totient is φ = 2555062272.

The previous prime is 11488970587. The next prime is 11488970659. The reversal of 11488970640 is 4607988411.

11488970640 = T₂₅₆₀₅ + T₂₅₆₀₆ + ... + T₂₅₆₃₉.

11488970640 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11488970640.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 30255 + ... + 154574.

It is an arithmetic number, because the mean of its divisors is an integer number (261275688).

Almost surely, 2^11488970640 is an apocalyptic number.

11488970640 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 11488970640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20902055040).

11488970640 is an abundant number, since it is smaller than the sum of its proper divisors (30315139440).

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

11488970640 is a wasteful number, since it uses less digits than its factorization.

11488970640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184889 (or 184883 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 11488970640 in words is "eleven billion, four hundred eighty-eight million, nine hundred seventy thousand, six hundred forty".