16689125478400 has 312 divisors, whose sum is σ = 42805181507328. Its totient is φ = 6447267840000.

The previous prime is 16689125478341. The next prime is 16689125478407. The reversal of 16689125478400 is 487452198661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16689125478407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1653857355 + ... + 1653867445.

Almost surely, 2^{16689125478400} is an apocalyptic number.

16689125478400 is a gapful number since it is divisible by the number (10) 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 16689125478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21402590753664).

16689125478400 is an abundant number, since it is smaller than the sum of its proper divisors (26116056028928).

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

16689125478400 is a wasteful number, since it uses less digits than its factorization.

16689125478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10677 (or 10650 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 61.

The spelling of 16689125478400 in words is "sixteen trillion, six hundred eighty-nine billion, one hundred twenty-five million, four hundred seventy-eight thousand, four hundred".