10395864574812 has 144 divisors (see below), whose sum is σ = 27058028175360. Its totient is φ = 3363890909184.

The previous prime is 10395864574801. The next prime is 10395864574841. The reversal of 10395864574812 is 21847546859301.

It is a happy number.

10395864574812 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 58 + 6 + 4 + 574 + 8 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10395864574812.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 947398558 + ... + 947409530.

It is an arithmetic number, because the mean of its divisors is an integer number (187902973440).

It is a 1-persistent number, because it is pandigital, but 2⋅10395864574812 = 20791729149624 is not.

Almost surely, 2^{10395864574812} is an apocalyptic number.

10395864574812 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 10395864574812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13529014087680).

10395864574812 is an abundant number, since it is smaller than the sum of its proper divisors (16662163600548).

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

10395864574812 is a wasteful number, since it uses less digits than its factorization.

10395864574812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16252 (or 16247 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 10395864574812 in words is "ten trillion, three hundred ninety-five billion, eight hundred sixty-four million, five hundred seventy-four thousand, eight hundred twelve".