217052800000 has 132 divisors (see below), whose sum is σ = 542340327060. Its totient is φ = 86819840000.

The previous prime is 217052799973. The next prime is 217052800033. The reversal of 217052800000 is 8250712.

It can be written as a sum of positive squares in 6 ways, for example, as 159820850176 + 57231949824 = 399776^2 + 239232^2 .

It is a super-2 number, since 2×217052800000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3166086 + ... + 3233914.

Almost surely, 2^217052800000 is an apocalyptic number.

217052800000 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 217052800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271170163530).

217052800000 is an abundant number, since it is smaller than the sum of its proper divisors (325287527060).

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

217052800000 is an frugal number, since it uses more digits than its factorization.

217052800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67874 (or 67836 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The spelling of 217052800000 in words is "two hundred seventeen billion, fifty-two million, eight hundred thousand".