216906117120 has 2496 divisors, whose sum is σ = 1059855114240. Its totient is φ = 39636172800.

The previous prime is 216906117107. The next prime is 216906117121. The reversal of 216906117120 is 21711609612.

216906117120 is a `hidden beast` number, since 2 + 16 + 9 + 0 + 611 + 7 + 1 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (216906117121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6996971505 + ... + 6996971535.

It is an arithmetic number, because the mean of its divisors is an integer number (424621440).

Almost surely, 2^216906117120 is an apocalyptic number.

216906117120 is a gapful number since it is divisible by the number (20) 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 216906117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529927557120).

216906117120 is an abundant number, since it is smaller than the sum of its proper divisors (842948997120).

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

216906117120 is a wasteful number, since it uses less digits than its factorization.

216906117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 216906117120 in words is "two hundred sixteen billion, nine hundred six million, one hundred seventeen thousand, one hundred twenty".