966313924875000 has 2240 divisors, whose sum is σ = 3836613156348000. Its totient is φ = 225342842400000.

The previous prime is 966313924874923. The next prime is 966313924875127. The reversal of 966313924875000 is 578429313669.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

966313924875000 is a `hidden beast` number, since 9 + 6 + 6 + 3 + 13 + 92 + 487 + 50 + 0 + 0 = 666.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 966313924875000 = 12350³ + 98800³ = 55575³ + 92625³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 559 ways as a sum of consecutive naturals, for example, 50858627624991 + ... + 50858627625009.

It is a 2-persistent number, because it is pandigital, and so is 2⋅966313924875000 = 1932627849750000, but 3⋅966313924875000 = 2898941774625000 is not.

Almost surely, 2^{966313924875000} is an apocalyptic number.

966313924875000 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 966313924875000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918306578174000).

966313924875000 is an abundant number, since it is smaller than the sum of its proper divisors (2870299231473000).

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

966313924875000 is an frugal number, since it uses more digits than its factorization.

966313924875000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 966313924875000 in words is "nine hundred sixty-six trillion, three hundred thirteen billion, nine hundred twenty-four million, eight hundred seventy-five thousand".