11556545000 has 320 divisors, whose sum is σ = 36370857600. Its totient is φ = 3323520000.

The previous prime is 11556544939. The next prime is 11556545027. The reversal of 11556545000 is 54565511.

It is a super-5 number, since 5×11556545000⁵ (a number of 52 digits) contains 55555 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5003846 + ... + 5006154.

It is an arithmetic number, because the mean of its divisors is an integer number (113658930).

Almost surely, 2^11556545000 is an apocalyptic number.

11556545000 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 11556545000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18185428800).

11556545000 is an abundant number, since it is smaller than the sum of its proper divisors (24814312600).

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

11556545000 is a wasteful number, since it uses less digits than its factorization.

11556545000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 32.

The spelling of 11556545000 in words is "eleven billion, five hundred fifty-six million, five hundred forty-five thousand".