11087703072 has 288 divisors, whose sum is σ = 33286256640. Its totient is φ = 3498001920.

The previous prime is 11087703019. The next prime is 11087703073. The reversal of 11087703072 is 27030778011.

It is a happy number.

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 (11087703073) 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, 79767579 + ... + 79767717.

It is an arithmetic number, because the mean of its divisors is an integer number (115577280).

Almost surely, 2^11087703072 is an apocalyptic number.

11087703072 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 11087703072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16643128320).

11087703072 is an abundant number, since it is smaller than the sum of its proper divisors (22198553568).

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

11087703072 is a wasteful number, since it uses less digits than its factorization.

11087703072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 11087703072 in words is "eleven billion, eighty-seven million, seven hundred three thousand, seventy-two".