11151857976 has 128 divisors (see below), whose sum is σ = 32978050560. Its totient is φ = 3076300800.

The previous prime is 11151857971. The next prime is 11151857987. The reversal of 11151857976 is 67975815111.

11151857976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11151857971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 659791 + ... + 676481.

It is an arithmetic number, because the mean of its divisors is an integer number (257641020).

Almost surely, 2^11151857976 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 11151857976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16489025280).

11151857976 is an abundant number, since it is smaller than the sum of its proper divisors (21826192584).

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

11151857976 is a wasteful number, since it uses less digits than its factorization.

11151857976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16845 (or 16841 counting only the distinct ones).

The product of its digits is 529200, while the sum is 51.

The spelling of 11151857976 in words is "eleven billion, one hundred fifty-one million, eight hundred fifty-seven thousand, nine hundred seventy-six".