10887065280 has 896 divisors, whose sum is σ = 48256911360. Its totient is φ = 2249441280.

The previous prime is 10887065279. The next prime is 10887065281. The reversal of 10887065280 is 8256078801.

It is an interprime number because it is at equal distance from previous prime (10887065279) and next prime (10887065281).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10887065281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47960527 + ... + 47960753.

It is an arithmetic number, because the mean of its divisors is an integer number (53858160).

Almost surely, 2^10887065280 is an apocalyptic number.

10887065280 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 10887065280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24128455680).

10887065280 is an abundant number, since it is smaller than the sum of its proper divisors (37369846080).

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

10887065280 is a wasteful number, since it uses less digits than its factorization.

10887065280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 10887065280 in words is "ten billion, eight hundred eighty-seven million, sixty-five thousand, two hundred eighty".