11153376000 has 720 divisors, whose sum is σ = 44832916128. Its totient is φ = 2737152000.

The previous prime is 11153375939. The next prime is 11153376007. The reversal of 11153376000 is 67335111.

11153376000 is a `hidden beast` number, since 1 + 1 + 1 + 53 + 3 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11153376007) 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 79 ways as a sum of consecutive naturals, for example, 33695835 + ... + 33696165.

Almost surely, 2^11153376000 is an apocalyptic number.

11153376000 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 11153376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22416458064).

11153376000 is an abundant number, since it is smaller than the sum of its proper divisors (33679540128).

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

11153376000 is an equidigital number, since it uses as much as digits as its factorization.

11153376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The spelling of 11153376000 in words is "eleven billion, one hundred fifty-three million, three hundred seventy-six thousand".