216517071000 has 128 divisors (see below), whose sum is σ = 675758266560. Its totient is φ = 57718656000.

The previous prime is 216517070983. The next prime is 216517071059. The reversal of 216517071000 is 170715612.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10540740 + ... + 10561260.

Almost surely, 2^216517071000 is an apocalyptic number.

216517071000 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 216517071000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337879133280).

216517071000 is an abundant number, since it is smaller than the sum of its proper divisors (459241195560).

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

216517071000 is a wasteful number, since it uses less digits than its factorization.

216517071000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24062 (or 24048 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 30.

Adding to 216517071000 its reverse (170715612), we get a palindrome (216687786612).

The spelling of 216517071000 in words is "two hundred sixteen billion, five hundred seventeen million, seventy-one thousand".