211216254480 has 1200 divisors, whose sum is σ = 954023938560. Its totient is φ = 42343741440.

The previous prime is 211216254479. The next prime is 211216254481. The reversal of 211216254480 is 84452612112.

211216254480 is a `hidden beast` number, since 2 + 1 + 1 + 21 + 625 + 4 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (211216254479) and next prime (211216254481).

It is a super-2 number, since 2×211216254480² (a number of 23 digits) contains 22 as substring.

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 (211216254481) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 159167577 + ... + 159168903.

Almost surely, 2^211216254480 is an apocalyptic number.

211216254480 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 211216254480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477011969280).

211216254480 is an abundant number, since it is smaller than the sum of its proper divisors (742807684080).

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

211216254480 is a wasteful number, since it uses less digits than its factorization.

211216254480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 211216254480 its reverse (84452612112), we get a palindrome (295668866592).

The spelling of 211216254480 in words is "two hundred eleven billion, two hundred sixteen million, two hundred fifty-four thousand, four hundred eighty".