16689839502400 has 189 divisors, whose sum is σ = 41491939996269. Its totient is φ = 6607629250560.

The previous prime is 16689839502389. The next prime is 16689839502419. The reversal of 16689839502400 is 420593898661.

The square root of 16689839502400 is 4085320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 15305809605696 + 1384029896704 = 3912264^2 + 1176448^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17811994732 + ... + 17811995668.

Almost surely, 2^{16689839502400} is an apocalyptic number.

16689839502400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16689839502400 is the 4085320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16689839502400

16689839502400 is an abundant number, since it is smaller than the sum of its proper divisors (24802100493869).

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

16689839502400 is an frugal number, since it uses more digits than its factorization.

16689839502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 61.

The spelling of 16689839502400 in words is "sixteen trillion, six hundred eighty-nine billion, eight hundred thirty-nine million, five hundred two thousand, four hundred".