11896915968 has 576 divisors, whose sum is σ = 43337548800. Its totient is φ = 3065610240.

The previous prime is 11896915963. The next prime is 11896915997. The reversal of 11896915968 is 86951969811.

It is a tau number, because it is divible by the number of its divisors (576).

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

Its product of digits (8398080) is a multiple of the sum of its prime factors (288).

It is not an unprimeable number, because it can be changed into a prime (11896915963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56383383 + ... + 56383593.

It is an arithmetic number, because the mean of its divisors is an integer number (75238800).

Almost surely, 2^11896915968 is an apocalyptic number.

11896915968 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 11896915968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21668774400).

11896915968 is an abundant number, since it is smaller than the sum of its proper divisors (31440632832).

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

11896915968 is a wasteful number, since it uses less digits than its factorization.

11896915968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 265 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 63.

The spelling of 11896915968 in words is "eleven billion, eight hundred ninety-six million, nine hundred fifteen thousand, nine hundred sixty-eight".