216766154142720 has 5632 divisors, whose sum is σ = 1038418457395200. Its totient is φ = 41608468758528.

The previous prime is 216766154142709. The next prime is 216766154142743. The reversal of 216766154142720 is 27241451667612.

216766154142720 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 6 + 615 + 4 + 14 + 2 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1123140694944 + ... + 1123140695136.

Almost surely, 2^{216766154142720} is an apocalyptic number.

216766154142720 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 216766154142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519209228697600).

216766154142720 is an abundant number, since it is smaller than the sum of its proper divisors (821652303252480).

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

216766154142720 is a wasteful number, since it uses less digits than its factorization.

216766154142720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 216766154142720 in words is "two hundred sixteen trillion, seven hundred sixty-six billion, one hundred fifty-four million, one hundred forty-two thousand, seven hundred twenty".