11551513260 has 192 divisors, whose sum is σ = 40402575360. Its totient is φ = 2404823040.

The previous prime is 11551513241. The next prime is 11551513301. The reversal of 11551513260 is 6231515511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195246 + ... + 247434.

It is an arithmetic number, because the mean of its divisors is an integer number (210430080).

Almost surely, 2^11551513260 is an apocalyptic number.

11551513260 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 11551513260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20201287680).

11551513260 is an abundant number, since it is smaller than the sum of its proper divisors (28851062100).

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

11551513260 is a wasteful number, since it uses less digits than its factorization.

11551513260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52256 (or 52254 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 11551513260 in words is "eleven billion, five hundred fifty-one million, five hundred thirteen thousand, two hundred sixty".