11396352000 has 768 divisors, whose sum is σ = 44155238400. Its totient is φ = 2580480000.

The previous prime is 11396351983. The next prime is 11396352001. The reversal of 11396352000 is 25369311.

It is a tau number, because it is divible by the number of its divisors (768).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11396352001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160511965 + ... + 160512035.

It is an arithmetic number, because the mean of its divisors is an integer number (57493800).

Almost surely, 2^11396352000 is an apocalyptic number.

11396352000 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 11396352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22077619200).

11396352000 is an abundant number, since it is smaller than the sum of its proper divisors (32758886400).

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

11396352000 is a wasteful number, since it uses less digits than its factorization.

11396352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The spelling of 11396352000 in words is "eleven billion, three hundred ninety-six million, three hundred fifty-two thousand".