966930451200 has 1296 divisors, whose sum is σ = 4160149733376. Its totient is φ = 209483366400.

The previous prime is 966930451183. The next prime is 966930451217. The reversal of 966930451200 is 2154039669.

966930451200 is a `hidden beast` number, since 96 + 6 + 9 + 304 + 51 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (966930451183) and next prime (966930451217).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1177746790 + ... + 1177747610.

Almost surely, 2^966930451200 is an apocalyptic number.

966930451200 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 966930451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080074866688).

966930451200 is an abundant number, since it is smaller than the sum of its proper divisors (3193219282176).

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

966930451200 is a wasteful number, since it uses less digits than its factorization.

966930451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 966930451200 in words is "nine hundred sixty-six billion, nine hundred thirty million, four hundred fifty-one thousand, two hundred".