899616706560 has 1664 divisors, whose sum is σ = 3889154949120. Its totient is φ = 194288025600.

The previous prime is 899616706553. The next prime is 899616706561. The reversal of 899616706560 is 65607616998.

899616706560 is a `hidden beast` number, since 8 + 9 + 9 + 6 + 1 + 67 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-3 number, since 3×899616706560³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (899616706561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2451271497 + ... + 2451271863.

Almost surely, 2^899616706560 is an apocalyptic number.

899616706560 is a gapful number since it is divisible by the number (80) 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 899616706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944577474560).

899616706560 is an abundant number, since it is smaller than the sum of its proper divisors (2989538242560).

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

899616706560 is a wasteful number, since it uses less digits than its factorization.

899616706560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 899616706560 in words is "eight hundred ninety-nine billion, six hundred sixteen million, seven hundred six thousand, five hundred sixty".