967160563200000 has 2496 divisors, whose sum is σ = 3921241468233600. Its totient is φ = 234101145600000.

The previous prime is 967160563199983. The next prime is 967160563200011. The reversal of 967160563200000 is 2365061769.

967160563200000 is a `hidden beast` number, since 9 + 6 + 7 + 1 + 6 + 0 + 5 + 632 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 274060798236 + ... + 274060801764.

Almost surely, 2^{967160563200000} is an apocalyptic number.

967160563200000 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 967160563200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960620734116800).

967160563200000 is an abundant number, since it is smaller than the sum of its proper divisors (2954080905033600).

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

967160563200000 is an equidigital number, since it uses as much as digits as its factorization.

967160563200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 967160563200000 in words is "nine hundred sixty-seven trillion, one hundred sixty billion, five hundred sixty-three million, two hundred thousand".