966394977120 has 576 divisors, whose sum is σ = 3700870326720. Its totient is φ = 234704977920.

The previous prime is 966394977113. The next prime is 966394977133. The reversal of 966394977120 is 21779493669.

966394977120 is a `hidden beast` number, since 96 + 6 + 39 + 497 + 7 + 1 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70568994 + ... + 70582686.

It is an arithmetic number, because the mean of its divisors is an integer number (6425122095).

Almost surely, 2^966394977120 is an apocalyptic number.

966394977120 is a gapful number since it is divisible by the number (90) 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 966394977120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850435163360).

966394977120 is an abundant number, since it is smaller than the sum of its proper divisors (2734475349600).

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

966394977120 is a wasteful number, since it uses less digits than its factorization.

966394977120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13796 (or 13751 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 966394977120 in words is "nine hundred sixty-six billion, three hundred ninety-four million, nine hundred seventy-seven thousand, one hundred twenty".