966292483875840 has 2816 divisors, whose sum is σ = 4023936921600000. Its totient is φ = 217416741027840.

The previous prime is 966292483875793. The next prime is 966292483875923. The reversal of 966292483875840 is 48578384292669.

966292483875840 is a `hidden beast` number, since 9 + 6 + 6 + 2 + 9 + 2 + 483 + 87 + 58 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a self number, because there is not a number n which added to its sum of digits gives 966292483875840.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 611964840171 + ... + 611964841749.

Almost surely, 2^{966292483875840} is an apocalyptic number.

966292483875840 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 966292483875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011968460800000).

966292483875840 is an abundant number, since it is smaller than the sum of its proper divisors (3057644437724160).

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

966292483875840 is a wasteful number, since it uses less digits than its factorization.

966292483875840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 10032906240, while the sum is 81.

The spelling of 966292483875840 in words is "nine hundred sixty-six trillion, two hundred ninety-two billion, four hundred eighty-three million, eight hundred seventy-five thousand, eight hundred forty".