966257510400 has 1152 divisors, whose sum is σ = 4368857875200. Its totient is φ = 203843174400.

The previous prime is 966257510381. The next prime is 966257510443. The reversal of 966257510400 is 4015752669.

966257510400 is a `hidden beast` number, since 9 + 6 + 62 + 575 + 10 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×966257510400² (a number of 25 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125794560 + ... + 125802240.

It is an arithmetic number, because the mean of its divisors is an integer number (3792411350).

Almost surely, 2^966257510400 is an apocalyptic number.

966257510400 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 966257510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184428937600).

966257510400 is an abundant number, since it is smaller than the sum of its proper divisors (3402600364800).

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

966257510400 is a wasteful number, since it uses less digits than its factorization.

966257510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7742 (or 7711 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 966257510400 in words is "nine hundred sixty-six billion, two hundred fifty-seven million, five hundred ten thousand, four hundred".