11896651008 has 288 divisors, whose sum is σ = 40053242880. Its totient is φ = 3447797760.

The previous prime is 11896650991. The next prime is 11896651057. The reversal of 11896651008 is 80015669811.

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

It is a super-2 number, since 2×11896651008² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1745335 + ... + 1752137.

It is an arithmetic number, because the mean of its divisors is an integer number (139073760).

Almost surely, 2^11896651008 is an apocalyptic number.

11896651008 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 11896651008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20026621440).

11896651008 is an abundant number, since it is smaller than the sum of its proper divisors (28156591872).

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

11896651008 is a wasteful number, since it uses less digits than its factorization.

11896651008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6862 (or 6842 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 11896651008 in words is "eleven billion, eight hundred ninety-six million, six hundred fifty-one thousand, eight".