961612159680 has 168 divisors, whose sum is σ = 3308185887552. Its totient is φ = 256380235776.

The previous prime is 961612159661. The next prime is 961612159733. The reversal of 961612159680 is 86951216169.

961612159680 is a `hidden beast` number, since 9 + 6 + 1 + 612 + 15 + 9 + 6 + 8 + 0 = 666.

961612159680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16262649 + ... + 16321671.

It is an arithmetic number, because the mean of its divisors is an integer number (19691582664).

Almost surely, 2^961612159680 is an apocalyptic number.

961612159680 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 961612159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654092943776).

961612159680 is an abundant number, since it is smaller than the sum of its proper divisors (2346573727872).

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

961612159680 is a wasteful number, since it uses less digits than its factorization.

961612159680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64703 (or 64690 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 961612159680 in words is "nine hundred sixty-one billion, six hundred twelve million, one hundred fifty-nine thousand, six hundred eighty".