211306166400402 has 32 divisors (see below), whose sum is σ = 469584400507200. Its totient is φ = 70433117524224.

The previous prime is 211306166400353. The next prime is 211306166400451. The reversal of 211306166400402 is 204004661603112.

211306166400402 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 0 + 6 + 1 + 6 + 640 + 0 + 4 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (211306166400353) and next prime (211306166400451).

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 15 ways as a sum of consecutive naturals, for example, 61400463 + ... + 64750514.

It is an arithmetic number, because the mean of its divisors is an integer number (14674512515850).

Almost surely, 2^{211306166400402} is an apocalyptic number.

211306166400402 is an abundant number, since it is smaller than the sum of its proper divisors (258278234106798).

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

211306166400402 is a wasteful number, since it uses less digits than its factorization.

211306166400402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126182007 (or 126182001 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 211306166400402 in words is "two hundred eleven trillion, three hundred six billion, one hundred sixty-six million, four hundred thousand, four hundred two".