11652379200 has 1344 divisors, whose sum is σ = 55150755840. Its totient is φ = 2322432000.

The previous prime is 11652379199. The next prime is 11652379243. The reversal of 11652379200 is 297325611.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 103118344 + ... + 103118456.

Almost surely, 2^11652379200 is an apocalyptic number.

11652379200 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 11652379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27575377920).

11652379200 is an abundant number, since it is smaller than the sum of its proper divisors (43498376640).

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

11652379200 is a wasteful number, since it uses less digits than its factorization.

11652379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 11652379200 in words is "eleven billion, six hundred fifty-two million, three hundred seventy-nine thousand, two hundred".