10605868560000 has 960 divisors, whose sum is σ = 45480832974720. Its totient is φ = 2318773248000.

The previous prime is 10605868559987. The next prime is 10605868560017. The reversal of 10605868560000 is 6586850601.

10605868560000 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 5 + 86 + 8 + 560 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×10605868560000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 115874254 + ... + 115965746.

It is an arithmetic number, because the mean of its divisors is an integer number (47375867682).

Almost surely, 2^{10605868560000} is an apocalyptic number.

10605868560000 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 10605868560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22740416487360).

10605868560000 is an abundant number, since it is smaller than the sum of its proper divisors (34874964414720).

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

10605868560000 is an equidigital number, since it uses as much as digits as its factorization.

10605868560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91563 (or 91533 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 10605868560000 in words is "ten trillion, six hundred five billion, eight hundred sixty-eight million, five hundred sixty thousand".