966249725760 has 392 divisors, whose sum is σ = 3763368318816. Its totient is φ = 234241735680.

The previous prime is 966249725731. The next prime is 966249725807. The reversal of 966249725760 is 67527942669.

966249725760 is a `hidden beast` number, since 9 + 6 + 62 + 497 + 25 + 7 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2377807 + ... + 2754353.

Almost surely, 2^966249725760 is an apocalyptic number.

966249725760 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 966249725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881684159408).

966249725760 is an abundant number, since it is smaller than the sum of its proper divisors (2797118593056).

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

966249725760 is a wasteful number, since it uses less digits than its factorization.

966249725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376593 (or 376568 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 966249725760 in words is "nine hundred sixty-six billion, two hundred forty-nine million, seven hundred twenty-five thousand, seven hundred sixty".