10206435666144 has 48 divisors (see below), whose sum is σ = 26830666437120. Its totient is φ = 3397221690240.

The previous prime is 10206435666083. The next prime is 10206435666157. The reversal of 10206435666144 is 44166653460201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 10206435666093 and 10206435666102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76863504 + ... + 76996175.

It is an arithmetic number, because the mean of its divisors is an integer number (558972217440).

Almost surely, 2^{10206435666144} is an apocalyptic number.

It is an amenable number.

10206435666144 is an abundant number, since it is smaller than the sum of its proper divisors (16624230770976).

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

10206435666144 is a wasteful number, since it uses less digits than its factorization.

10206435666144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153860383 (or 153860375 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 10206435666144 in words is "ten trillion, two hundred six billion, four hundred thirty-five million, six hundred sixty-six thousand, one hundred forty-four".