10887315840 has 256 divisors, whose sum is σ = 39028953600. Its totient is φ = 2867927040.

The previous prime is 10887315839. The next prime is 10887315841. The reversal of 10887315840 is 4851378801.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10887315839) and next prime (10887315841).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10887315841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1430445 + ... + 1438035.

It is an arithmetic number, because the mean of its divisors is an integer number (152456850).

Almost surely, 2^10887315840 is an apocalyptic number.

10887315840 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 10887315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514476800).

10887315840 is an abundant number, since it is smaller than the sum of its proper divisors (28141637760).

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

10887315840 is an equidigital number, since it uses as much as digits as its factorization.

10887315840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7702 (or 7684 counting only the distinct ones).

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

The spelling of 10887315840 in words is "ten billion, eight hundred eighty-seven million, three hundred fifteen thousand, eight hundred forty".