966385551300 has 1296 divisors, whose sum is σ = 3546999227520. Its totient is φ = 201724723200.

The previous prime is 966385551253. The next prime is 966385551319. The reversal of 966385551300 is 3155583669.

It is a super-2 number, since 2×966385551300² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 23570379280 + ... + 23570379320.

It is an arithmetic number, because the mean of its divisors is an integer number (2736882120).

Almost surely, 2^966385551300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966385551300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773499613760).

966385551300 is an abundant number, since it is smaller than the sum of its proper divisors (2580613676220).

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

966385551300 is a wasteful number, since it uses less digits than its factorization.

966385551300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 51.

The spelling of 966385551300 in words is "nine hundred sixty-six billion, three hundred eighty-five million, five hundred fifty-one thousand, three hundred".