217961002992 has 80 divisors (see below), whose sum is σ = 573287057280. Its totient is φ = 71337728256.

The previous prime is 217961002969. The next prime is 217961002993. The reversal of 217961002992 is 299200169712.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217961002993) 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, 2370583 + ... + 2460809.

It is an arithmetic number, because the mean of its divisors is an integer number (7166088216).

Almost surely, 2^217961002992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217961002992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286643528640).

217961002992 is an abundant number, since it is smaller than the sum of its proper divisors (355326054288).

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

217961002992 is a wasteful number, since it uses less digits than its factorization.

217961002992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91150 (or 91144 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The spelling of 217961002992 in words is "two hundred seventeen billion, nine hundred sixty-one million, two thousand, nine hundred ninety-two".