216506054560 has 96 divisors (see below), whose sum is σ = 533878853760. Its totient is φ = 82814696448.

The previous prime is 216506054533. The next prime is 216506054561. The reversal of 216506054560 is 65450605612.

It is a super-2 number, since 2×216506054560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (216506054561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21497206 + ... + 21507274.

It is an arithmetic number, because the mean of its divisors is an integer number (5561238060).

Almost surely, 2^216506054560 is an apocalyptic number.

216506054560 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 216506054560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266939426880).

216506054560 is an abundant number, since it is smaller than the sum of its proper divisors (317372799200).

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

216506054560 is a wasteful number, since it uses less digits than its factorization.

216506054560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15950 (or 15942 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 216506054560 in words is "two hundred sixteen billion, five hundred six million, fifty-four thousand, five hundred sixty".