11153251872 has 288 divisors, whose sum is σ = 36910194048. Its totient is φ = 3129090048.

The previous prime is 11153251867. The next prime is 11153251873. The reversal of 11153251872 is 27815235111.

11153251872 is a `hidden beast` number, since 1 + 1 + 1 + 532 + 51 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (11153251873) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 39410643 + ... + 39410925.

It is an arithmetic number, because the mean of its divisors is an integer number (128160396).

Almost surely, 2^11153251872 is an apocalyptic number.

11153251872 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 11153251872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18455097024).

11153251872 is an abundant number, since it is smaller than the sum of its proper divisors (25756942176).

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

11153251872 is a wasteful number, since it uses less digits than its factorization.

11153251872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 581 counting only the distinct ones).

The product of its digits is 16800, while the sum is 36.

Adding to 11153251872 its reverse (27815235111), we get a palindrome (38968486983).

The spelling of 11153251872 in words is "eleven billion, one hundred fifty-three million, two hundred fifty-one thousand, eight hundred seventy-two".