10059105910000 has 200 divisors, whose sum is σ = 28425464939520. Its totient is φ = 3375455712000.

The previous prime is 10059105909997. The next prime is 10059105910027. The reversal of 10059105910000 is 1950195001.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×10059105910000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1761261 + ... + 4818739.

Almost surely, 2^{10059105910000} is an apocalyptic number.

10059105910000 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 10059105910000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14212732469760).

10059105910000 is an abundant number, since it is smaller than the sum of its proper divisors (18366359029520).

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

10059105910000 is an equidigital number, since it uses as much as digits as its factorization.

10059105910000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057561 (or 3057540 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 31.

The spelling of 10059105910000 in words is "ten trillion, fifty-nine billion, one hundred five million, nine hundred ten thousand".