966278485468800 has 5760 divisors, whose sum is σ = 4411453956465600. Its totient is φ = 206374791168000.

The previous prime is 966278485468771. The next prime is 966278485468853. The reversal of 966278485468800 is 8864584872669.

966278485468800 is a `hidden beast` number, since 9 + 6 + 6 + 2 + 78 + 4 + 8 + 5 + 468 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×966278485468800² (a number of 31 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 966278485468800.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 7376171644735 + ... + 7376171644865.

Almost surely, 2^{966278485468800} is an apocalyptic number.

966278485468800 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 966278485468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205726978232800).

966278485468800 is an abundant number, since it is smaller than the sum of its proper divisors (3445175470996800).

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

966278485468800 is a wasteful number, since it uses less digits than its factorization.

966278485468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 8918138880, while the sum is 81.

The spelling of 966278485468800 in words is "nine hundred sixty-six trillion, two hundred seventy-eight billion, four hundred eighty-five million, four hundred sixty-eight thousand, eight hundred".