10058601606912 has 180 divisors, whose sum is σ = 30229102692096. Its totient is φ = 3326465802240.

The previous prime is 10058601606899. The next prime is 10058601606997. The reversal of 10058601606912 is 21960610685001.

10058601606912 is a `hidden beast` number, since 1 + 0 + 0 + 586 + 0 + 1 + 6 + 0 + 69 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 723712 + ... + 4543232.

Almost surely, 2^{10058601606912} is an apocalyptic number.

10058601606912 is a gapful number since it is divisible by the number (12) 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 10058601606912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15114551346048).

10058601606912 is an abundant number, since it is smaller than the sum of its proper divisors (20170501085184).

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

10058601606912 is an equidigital number, since it uses as much as digits as its factorization.

10058601606912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3819676 (or 3819653 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 10058601606912 in words is "ten trillion, fifty-eight billion, six hundred one million, six hundred six thousand, nine hundred twelve".