10206231551406 has 256 divisors, whose sum is σ = 25873574169600. Its totient is φ = 2978458560000.

The previous prime is 10206231551389. The next prime is 10206231551437. The reversal of 10206231551406 is 60415513260201.

10206231551406 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 62 + 3 + 1 + 551 + 40 + 6 = 666.

10206231551406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 835816641 + ... + 835828851.

It is an arithmetic number, because the mean of its divisors is an integer number (101068649100).

Almost surely, 2^{10206231551406} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10206231551406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12936787084800).

10206231551406 is an abundant number, since it is smaller than the sum of its proper divisors (15667342618194).

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

10206231551406 is a wasteful number, since it uses less digits than its factorization.

10206231551406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12685 (or 12657 counting only the distinct ones).

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

The spelling of 10206231551406 in words is "ten trillion, two hundred six billion, two hundred thirty-one million, five hundred fifty-one thousand, four hundred six".