966751017120 has 576 divisors, whose sum is σ = 3974207328000. Its totient is φ = 209054711808.

The previous prime is 966751017061. The next prime is 966751017151. The reversal of 966751017120 is 21710157669.

966751017120 is a `hidden beast` number, since 9 + 6 + 6 + 7 + 510 + 1 + 7 + 120 = 666.

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 95 ways as a sum of consecutive naturals, for example, 158767036 + ... + 158773124.

It is an arithmetic number, because the mean of its divisors is an integer number (6899665500).

Almost surely, 2^966751017120 is an apocalyptic number.

966751017120 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 966751017120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987103664000).

966751017120 is an abundant number, since it is smaller than the sum of its proper divisors (3007456310880).

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

966751017120 is a wasteful number, since it uses less digits than its factorization.

966751017120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6965 (or 6954 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 966751017120 in words is "nine hundred sixty-six billion, seven hundred fifty-one million, seventeen thousand, one hundred twenty".