966721155120 has 240 divisors, whose sum is σ = 3713532443712. Its totient is φ = 220776376320.

The previous prime is 966721155097. The next prime is 966721155167. The reversal of 966721155120 is 21551127669.

It is a happy number.

966721155120 is a `hidden beast` number, since 9 + 6 + 6 + 72 + 1 + 1 + 551 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5871034 + ... + 6033446.

Almost surely, 2^966721155120 is an apocalyptic number.

966721155120 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 966721155120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856766221856).

966721155120 is an abundant number, since it is smaller than the sum of its proper divisors (2746811288592).

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

966721155120 is a wasteful number, since it uses less digits than its factorization.

966721155120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163620 (or 163611 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 966721155120 in words is "nine hundred sixty-six billion, seven hundred twenty-one million, one hundred fifty-five thousand, one hundred twenty".