960899966208 has 1296 divisors, whose sum is σ = 3870237309120. Its totient is φ = 225851867136.

The previous prime is 960899966207. The next prime is 960899966219. The reversal of 960899966208 is 802669998069.

960899966208 is a `hidden beast` number, since 9 + 608 + 9 + 9 + 9 + 6 + 6 + 2 + 0 + 8 = 666.

960899966208 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960899966207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 474049291 + ... + 474051317.

It is an arithmetic number, because the mean of its divisors is an integer number (2986294220).

Almost surely, 2^960899966208 is an apocalyptic number.

960899966208 is a gapful number since it is divisible by the number (98) 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 960899966208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935118654560).

960899966208 is an abundant number, since it is smaller than the sum of its proper divisors (2909337342912).

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

960899966208 is a wasteful number, since it uses less digits than its factorization.

960899966208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 181398528, while the sum is 72.

The spelling of 960899966208 in words is "nine hundred sixty billion, eight hundred ninety-nine million, nine hundred sixty-six thousand, two hundred eight".