10984688640 has 440 divisors, whose sum is σ = 39887514480. Its totient is φ = 2902376448.

The previous prime is 10984688609. The next prime is 10984688641. The reversal of 10984688640 is 4688648901.

10984688640 is a `hidden beast` number, since 10 + 98 + 468 + 86 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10984688641) 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 39 ways as a sum of consecutive naturals, for example, 100776906 + ... + 100777014.

It is an arithmetic number, because the mean of its divisors is an integer number (90653442).

Almost surely, 2^10984688640 is an apocalyptic number.

10984688640 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 10984688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19943757240).

10984688640 is an abundant number, since it is smaller than the sum of its proper divisors (28902825840).

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

10984688640 is an frugal number, since it uses more digits than its factorization.

10984688640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 10984688640 in words is "ten billion, nine hundred eighty-four million, six hundred eighty-eight thousand, six hundred forty".