11651159520 has 1152 divisors, whose sum is σ = 54684564480. Its totient is φ = 2180874240.

The previous prime is 11651159503. The next prime is 11651159521. The reversal of 11651159520 is 2595115611.

11651159520 is a `hidden beast` number, since 1 + 1 + 65 + 1 + 1 + 595 + 2 + 0 = 666.

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 (11651159521) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 85044892 + ... + 85045028.

It is an arithmetic number, because the mean of its divisors is an integer number (47469240).

Almost surely, 2^11651159520 is an apocalyptic number.

11651159520 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 11651159520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27342282240).

11651159520 is an abundant number, since it is smaller than the sum of its proper divisors (43033404960).

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

11651159520 is a wasteful number, since it uses less digits than its factorization.

11651159520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 36.

It can be divided in two parts, 11651 and 159520, that added together give a palindrome (171171).

The spelling of 11651159520 in words is "eleven billion, six hundred fifty-one million, one hundred fifty-nine thousand, five hundred twenty".