10987649904 has 320 divisors, whose sum is σ = 36249108480. Its totient is φ = 2808748800.

The previous prime is 10987649887. The next prime is 10987649909. The reversal of 10987649904 is 40994678901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10987649909) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35329909 + ... + 35330219.

It is an arithmetic number, because the mean of its divisors is an integer number (113278464).

Almost surely, 2^10987649904 is an apocalyptic number.

10987649904 is a gapful number since it is divisible by the number (14) 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 10987649904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18124554240).

10987649904 is an abundant number, since it is smaller than the sum of its proper divisors (25261458576).

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

10987649904 is a wasteful number, since it uses less digits than its factorization.

10987649904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 10987649904 in words is "ten billion, nine hundred eighty-seven million, six hundred forty-nine thousand, nine hundred four".