1689382521216 has 640 divisors, whose sum is σ = 5504797599840. Its totient is φ = 511200460800.

The previous prime is 1689382521173. The next prime is 1689382521247. The reversal of 1689382521216 is 6121252839861.

1689382521216 is a `hidden beast` number, since 1 + 6 + 8 + 93 + 8 + 2 + 521 + 21 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2627344191 + ... + 2627344833.

Almost surely, 2^{1689382521216} is an apocalyptic number.

1689382521216 is a gapful number since it is divisible by the number (16) 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 1689382521216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752398799920).

1689382521216 is an abundant number, since it is smaller than the sum of its proper divisors (3815415078624).

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

1689382521216 is a wasteful number, since it uses less digits than its factorization.

1689382521216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 955 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 1689382521216 in words is "one trillion, six hundred eighty-nine billion, three hundred eighty-two million, five hundred twenty-one thousand, two hundred sixteen".