10887636480 has 640 divisors, whose sum is σ = 42237296640. Its totient is φ = 2340126720.

The previous prime is 10887636437. The next prime is 10887636491. The reversal of 10887636480 is 8463678801.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78328251 + ... + 78328389.

It is an arithmetic number, because the mean of its divisors is an integer number (65995776).

Almost surely, 2^10887636480 is an apocalyptic number.

10887636480 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 10887636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21118648320).

10887636480 is an abundant number, since it is smaller than the sum of its proper divisors (31349660160).

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

10887636480 is a wasteful number, since it uses less digits than its factorization.

10887636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 10887636480 in words is "ten billion, eight hundred eighty-seven million, six hundred thirty-six thousand, four hundred eighty".