11151508680 has 256 divisors, whose sum is σ = 40122432000. Its totient is φ = 2738727936.

The previous prime is 11151508661. The next prime is 11151508681. The reversal of 11151508680 is 8680515111.

It is a super-2 number, since 2×11151508680² (a number of 21 digits) contains 22 as substring.

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 (11151508681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10431186 + ... + 10432254.

It is an arithmetic number, because the mean of its divisors is an integer number (156728250).

Almost surely, 2^11151508680 is an apocalyptic number.

11151508680 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 11151508680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20061216000).

11151508680 is an abundant number, since it is smaller than the sum of its proper divisors (28970923320).

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

11151508680 is a wasteful number, since it uses less digits than its factorization.

11151508680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 36.

The spelling of 11151508680 in words is "eleven billion, one hundred fifty-one million, five hundred eight thousand, six hundred eighty".