10659345984 has 560 divisors, whose sum is σ = 39353288832. Its totient is φ = 2782937088.

The previous prime is 10659345959. The next prime is 10659346007. The reversal of 10659345984 is 48954395601.

10659345984 is a `hidden beast` number, since 1 + 0 + 6 + 593 + 45 + 9 + 8 + 4 = 666.

It is a super-3 number, since 3×10659345984³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10659345984.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22824919 + ... + 22825385.

Almost surely, 2^10659345984 is an apocalyptic number.

10659345984 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 10659345984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19676644416).

10659345984 is an abundant number, since it is smaller than the sum of its proper divisors (28693942848).

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

10659345984 is a wasteful number, since it uses less digits than its factorization.

10659345984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 10659345984 in words is "ten billion, six hundred fifty-nine million, three hundred forty-five thousand, nine hundred eighty-four".