11506246320 has 80 divisors (see below), whose sum is σ = 35689858560. Its totient is φ = 3066569472.

The previous prime is 11506246307. The next prime is 11506246343. The reversal of 11506246320 is 2364260511.

11506246320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×11506246320⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 435241 + ... + 460919.

It is an arithmetic number, because the mean of its divisors is an integer number (446123232).

Almost surely, 2^11506246320 is an apocalyptic number.

11506246320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11506246320 is an abundant number, since it is smaller than the sum of its proper divisors (24183612240).

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

11506246320 is a wasteful number, since it uses less digits than its factorization.

11506246320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27562 (or 27556 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 11506246320 in words is "eleven billion, five hundred six million, two hundred forty-six thousand, three hundred twenty".