216528215040 has 880 divisors, whose sum is σ = 810495271872. Its totient is φ = 55228760064.

The previous prime is 216528214949. The next prime is 216528215051. The reversal of 216528215040 is 40512825612.

216528215040 is a `hidden beast` number, since 21 + 6 + 52 + 82 + 1 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 216528214986 and 216528215004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1580497852 + ... + 1580497988.

Almost surely, 2^216528215040 is an apocalyptic number.

216528215040 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 216528215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405247635936).

216528215040 is an abundant number, since it is smaller than the sum of its proper divisors (593967056832).

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

216528215040 is a wasteful number, since it uses less digits than its factorization.

216528215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 216528215040 in words is "two hundred sixteen billion, five hundred twenty-eight million, two hundred fifteen thousand, forty".