966257060014400 has 1344 divisors, whose sum is σ = 3189223076659200. Its totient is φ = 279080266752000.

The previous prime is 966257060014391. The next prime is 966257060014409. The reversal of 966257060014400 is 4410060752669.

It is an interprime number because it is at equal distance from previous prime (966257060014391) and next prime (966257060014409).

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966257060014409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21106970711 + ... + 21107016489.

It is an arithmetic number, because the mean of its divisors is an integer number (2372933836800).

Almost surely, 2^{966257060014400} 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 966257060014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594611538329600).

966257060014400 is an abundant number, since it is smaller than the sum of its proper divisors (2222966016644800).

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

966257060014400 is a wasteful number, since it uses less digits than its factorization.

966257060014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46036 (or 46021 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 50.

The spelling of 966257060014400 in words is "nine hundred sixty-six trillion, two hundred fifty-seven billion, sixty million, fourteen thousand, four hundred".