216583166250 has 1120 divisors, whose sum is σ = 743439223296. Its totient is φ = 46656000000.

The previous prime is 216583166221. The next prime is 216583166309. The reversal of 216583166250 is 52661385612.

216583166250 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 8 + 3 + 16 + 625 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 216583166196 and 216583166205.

It is an unprimeable number.

It is a polite number, since it can be written in 559 ways as a sum of consecutive naturals, for example, 5282516230 + ... + 5282516270.

Almost surely, 2^216583166250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216583166250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371719611648).

216583166250 is an abundant number, since it is smaller than the sum of its proper divisors (526856057046).

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

216583166250 is a wasteful number, since it uses less digits than its factorization.

216583166250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 216583166250 in words is "two hundred sixteen billion, five hundred eighty-three million, one hundred sixty-six thousand, two hundred fifty".