217438082300 has 72 divisors (see below), whose sum is σ = 479671403232. Its totient is φ = 85543200000.

The previous prime is 217438082233. The next prime is 217438082353. The reversal of 217438082300 is 3280834712.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1453814 + ... + 1596386.

Almost surely, 2^217438082300 is an apocalyptic number.

217438082300 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 217438082300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239835701616).

217438082300 is an abundant number, since it is smaller than the sum of its proper divisors (262233320932).

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

217438082300 is a wasteful number, since it uses less digits than its factorization.

217438082300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142839 (or 142832 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The spelling of 217438082300 in words is "two hundred seventeen billion, four hundred thirty-eight million, eighty-two thousand, three hundred".