11200170566016 has 96 divisors (see below), whose sum is σ = 32775923068200. Its totient is φ = 3670112366592.

The previous prime is 11200170566003. The next prime is 11200170566021. The reversal of 11200170566016 is 61066507100211.

It is a happy number.

11200170566016 is a `hidden beast` number, since 1 + 1 + 20 + 0 + 1 + 70 + 566 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11200170566016² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82325001 + ... + 82460936.

Almost surely, 2^{11200170566016} is an apocalyptic number.

11200170566016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11200170566016 is an abundant number, since it is smaller than the sum of its proper divisors (21575752502184).

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

11200170566016 is a wasteful number, since it uses less digits than its factorization.

11200170566016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164786016 (or 164786001 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Adding to 11200170566016 its reverse (61066507100211), we get a palindrome (72266677666227).

The spelling of 11200170566016 in words is "eleven trillion, two hundred billion, one hundred seventy million, five hundred sixty-six thousand, sixteen".