10005701806000 has 160 divisors (see below), whose sum is σ = 24278793057792. Its totient is φ = 3988244044800.

The previous prime is 10005701805991. The next prime is 10005701806033. The reversal of 10005701806000 is 60810750001.

It is a happy number.

It is a super-2 number, since 2×10005701806000² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10005701806000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 676190602 + ... + 676205398.

Almost surely, 2^{10005701806000} is an apocalyptic number.

10005701806000 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 10005701806000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12139396528896).

10005701806000 is an abundant number, since it is smaller than the sum of its proper divisors (14273091251792).

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

10005701806000 is a wasteful number, since it uses less digits than its factorization.

10005701806000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15984 (or 15968 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The spelling of 10005701806000 in words is "ten trillion, five billion, seven hundred one million, eight hundred six thousand".