10996087968 has 288 divisors, whose sum is σ = 35675640000. Its totient is φ = 3191021568.

The previous prime is 10996087937. The next prime is 10996088017. The reversal of 10996087968 is 86978069901.

10996087968 is a `hidden beast` number, since 10 + 9 + 9 + 608 + 7 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×10996087968³ (a number of 31 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3998658 + ... + 4001406.

It is an arithmetic number, because the mean of its divisors is an integer number (123873750).

Almost surely, 2^10996087968 is an apocalyptic number.

10996087968 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 10996087968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17837820000).

10996087968 is an abundant number, since it is smaller than the sum of its proper divisors (24679552032).

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

10996087968 is a wasteful number, since it uses less digits than its factorization.

10996087968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 10996087968 in words is "ten billion, nine hundred ninety-six million, eighty-seven thousand, nine hundred sixty-eight".