211216266670000 has 100 divisors (see below), whose sum is σ = 515402286674176. Its totient is φ = 83821258080000.

The previous prime is 211216266669953. The next prime is 211216266670037. The reversal of 211216266670000 is 76662612112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×211216266670000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 19 ways as a sum of consecutive naturals, for example, 81886011 + ... + 84426010.

Almost surely, 2^{211216266670000} is an apocalyptic number.

211216266670000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211216266670000 is an abundant number, since it is smaller than the sum of its proper divisors (304186020004176).

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

211216266670000 is a wasteful number, since it uses less digits than its factorization.

211216266670000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166312176 (or 166312155 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 211216266670000 in words is "two hundred eleven trillion, two hundred sixteen billion, two hundred sixty-six million, six hundred seventy thousand".