10887212160 has 768 divisors, whose sum is σ = 43758489600. Its totient is φ = 2554675200.

The previous prime is 10887212159. The next prime is 10887212177. The reversal of 10887212160 is 6121278801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85726017 + ... + 85726143.

It is an arithmetic number, because the mean of its divisors is an integer number (56977200).

Almost surely, 2^10887212160 is an apocalyptic number.

10887212160 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 10887212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21879244800).

10887212160 is an abundant number, since it is smaller than the sum of its proper divisors (32871277440).

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

10887212160 is a wasteful number, since it uses less digits than its factorization.

10887212160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 10887212160 in words is "ten billion, eight hundred eighty-seven million, two hundred twelve thousand, one hundred sixty".