10206340156512 has 144 divisors (see below), whose sum is σ = 29114467200000. Its totient is φ = 3391557080832.

The previous prime is 10206340156501. The next prime is 10206340156517. The reversal of 10206340156512 is 21565104360201.

10206340156512 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 634 + 0 + 1 + 5 + 6 + 5 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×10206340156512³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10206340156517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132032689 + ... + 132109967.

It is an arithmetic number, because the mean of its divisors is an integer number (202183800000).

Almost surely, 2^{10206340156512} is an apocalyptic number.

10206340156512 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 10206340156512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14557233600000).

10206340156512 is an abundant number, since it is smaller than the sum of its proper divisors (18908127043488).

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

10206340156512 is a wasteful number, since it uses less digits than its factorization.

10206340156512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78713 (or 78702 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10206340156512 in words is "ten trillion, two hundred six billion, three hundred forty million, one hundred fifty-six thousand, five hundred twelve".