10889884656 has 360 divisors, whose sum is σ = 38618845200. Its totient is φ = 2844979200.

The previous prime is 10889884609. The next prime is 10889884657. The reversal of 10889884656 is 65648898801.

10889884656 is a `hidden beast` number, since 1 + 0 + 88 + 98 + 8 + 465 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 10889884593 and 10889884602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10889884657) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3886456 + ... + 3889256.

It is an arithmetic number, because the mean of its divisors is an integer number (107274570).

Almost surely, 2^10889884656 is an apocalyptic number.

10889884656 is a gapful number since it is divisible by the number (16) 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 10889884656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19309422600).

10889884656 is an abundant number, since it is smaller than the sum of its proper divisors (27728960544).

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

10889884656 is a wasteful number, since it uses less digits than its factorization.

10889884656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 10889884656 in words is "ten billion, eight hundred eighty-nine million, eight hundred eighty-four thousand, six hundred fifty-six".