216956276900280 has 96 divisors (see below), whose sum is σ = 735764765168160. Its totient is φ = 55339572076800.

The previous prime is 216956276900203. The next prime is 216956276900281. The reversal of 216956276900280 is 82009672659612.

216956276900280 is a `hidden beast` number, since 2 + 1 + 6 + 9 + 562 + 7 + 69 + 0 + 0 + 2 + 8 + 0 = 666.

It is a super-3 number, since 3×216956276900280³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216956276900281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13101216171 + ... + 13101232730.

It is an arithmetic number, because the mean of its divisors is an integer number (7664216303835).

Almost surely, 2^{216956276900280} is an apocalyptic number.

216956276900280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216956276900280 is an abundant number, since it is smaller than the sum of its proper divisors (518808488267880).

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

216956276900280 is a wasteful number, since it uses less digits than its factorization.

216956276900280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26202448941 (or 26202448934 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 216956276900280 in words is "two hundred sixteen trillion, nine hundred fifty-six billion, two hundred seventy-six million, nine hundred thousand, two hundred eighty".