11360950272 has 384 divisors, whose sum is σ = 39312000000. Its totient is φ = 3240566784.

The previous prime is 11360950267. The next prime is 11360950273. The reversal of 11360950272 is 27205906311.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11360950273) 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 31 ways as a sum of consecutive naturals, for example, 18966229 + ... + 18966827.

It is an arithmetic number, because the mean of its divisors is an integer number (102375000).

Almost surely, 2^11360950272 is an apocalyptic number.

11360950272 is a gapful number since it is divisible by the number (12) 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 11360950272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656000000).

11360950272 is an abundant number, since it is smaller than the sum of its proper divisors (27951049728).

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

11360950272 is an frugal number, since it uses more digits than its factorization.

11360950272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 611 counting only the distinct ones).

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

The spelling of 11360950272 in words is "eleven billion, three hundred sixty million, nine hundred fifty thousand, two hundred seventy-two".