10961583167808 has 672 divisors, whose sum is σ = 38948697994752. Its totient is φ = 2870216294400.

The previous prime is 10961583167771. The next prime is 10961583167827. The reversal of 10961583167808 is 80876138516901.

10961583167808 is a `hidden beast` number, since 1 + 0 + 9 + 615 + 8 + 3 + 1 + 6 + 7 + 8 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4580685460 + ... + 4580687852.

It is an arithmetic number, because the mean of its divisors is an integer number (57959372016).

Almost surely, 2^{10961583167808} is an apocalyptic number.

10961583167808 is a gapful number since it is divisible by the number (18) 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 10961583167808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19474348997376).

10961583167808 is an abundant number, since it is smaller than the sum of its proper divisors (27987114826944).

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

10961583167808 is a wasteful number, since it uses less digits than its factorization.

10961583167808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3023 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 10961583167808 in words is "ten trillion, nine hundred sixty-one billion, five hundred eighty-three million, one hundred sixty-seven thousand, eight hundred eight".