11151765504 has 416 divisors, whose sum is σ = 36800524800. Its totient is φ = 3308912640.

The previous prime is 11151765481. The next prime is 11151765509. The reversal of 11151765504 is 40556715111.

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 (11151765509) 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, 108269517 + ... + 108269619.

It is an arithmetic number, because the mean of its divisors is an integer number (88462800).

Almost surely, 2^11151765504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11151765504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18400262400).

11151765504 is an abundant number, since it is smaller than the sum of its proper divisors (25648759296).

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

11151765504 is a wasteful number, since it uses less digits than its factorization.

11151765504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 36.

The spelling of 11151765504 in words is "eleven billion, one hundred fifty-one million, seven hundred sixty-five thousand, five hundred four".