10859988384000 has 3456 divisors, whose sum is σ = 51297819955200. Its totient is φ = 2245559500800.

The previous prime is 10859988383987. The next prime is 10859988384083. The reversal of 10859988384000 is 48388995801.

It is a happy number.

10859988384000 is a `hidden beast` number, since 1 + 0 + 8 + 599 + 8 + 8 + 38 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×10859988384000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18500831707 + ... + 18500832293.

It is an arithmetic number, because the mean of its divisors is an integer number (14843119200).

Almost surely, 2^{10859988384000} is an apocalyptic number.

10859988384000 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 10859988384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25648909977600).

10859988384000 is an abundant number, since it is smaller than the sum of its proper divisors (40437831571200).

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

10859988384000 is a wasteful number, since it uses less digits than its factorization.

10859988384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 10859988384000 in words is "ten trillion, eight hundred fifty-nine billion, nine hundred eighty-eight million, three hundred eighty-four thousand".