216951011280 has 320 divisors, whose sum is σ = 766540938240. Its totient is φ = 56365977600.

The previous prime is 216951011269. The next prime is 216951011323. The reversal of 216951011280 is 82110159612.

216951011280 is a `hidden beast` number, since 2 + 1 + 69 + 510 + 1 + 1 + 2 + 80 = 666.

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 63 ways as a sum of consecutive naturals, for example, 97680570 + ... + 97682790.

It is an arithmetic number, because the mean of its divisors is an integer number (2395440432).

Almost surely, 2^216951011280 is an apocalyptic number.

216951011280 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 216951011280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383270469120).

216951011280 is an abundant number, since it is smaller than the sum of its proper divisors (549589926960).

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

216951011280 is a wasteful number, since it uses less digits than its factorization.

216951011280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3387 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 216951011280 in words is "two hundred sixteen billion, nine hundred fifty-one million, eleven thousand, two hundred eighty".