216774418175280 has 2240 divisors, whose sum is σ = 907870760552448. Its totient is φ = 47089445437440.

The previous prime is 216774418175251. The next prime is 216774418175309. The reversal of 216774418175280 is 82571814477612.

It is a happy number.

216774418175280 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 74 + 418 + 1 + 75 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (216774418175251) and next prime (216774418175309).

It is a super-2 number, since 2×216774418175280² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 103868910397 + ... + 103868912483.

Almost surely, 2^{216774418175280} is an apocalyptic number.

216774418175280 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 216774418175280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453935380276224).

216774418175280 is an abundant number, since it is smaller than the sum of its proper divisors (691096342377168).

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

216774418175280 is a wasteful number, since it uses less digits than its factorization.

216774418175280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 63.

The spelling of 216774418175280 in words is "two hundred sixteen trillion, seven hundred seventy-four billion, four hundred eighteen million, one hundred seventy-five thousand, two hundred eighty".