11155516000 has 96 divisors (see below), whose sum is σ = 27461161728. Its totient is φ = 4453734400.

The previous prime is 11155515997. The next prime is 11155516003. The reversal of 11155516000 is 61555111.

It is an interprime number because it is at equal distance from previous prime (11155515997) and next prime (11155516003).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11155516003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2369649 + ... + 2374351.

It is an arithmetic number, because the mean of its divisors is an integer number (286053768).

Almost surely, 2^11155516000 is an apocalyptic number.

11155516000 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 11155516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13730580864).

11155516000 is an abundant number, since it is smaller than the sum of its proper divisors (16305645728).

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

11155516000 is an equidigital number, since it uses as much as digits as its factorization.

11155516000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5321 (or 5303 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 25.

The spelling of 11155516000 in words is "eleven billion, one hundred fifty-five million, five hundred sixteen thousand".