11896510080 has 768 divisors, whose sum is σ = 48525039360. Its totient is φ = 2456616960.

The previous prime is 11896510069. The next prime is 11896510081. The reversal of 11896510080 is 8001569811.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (11896510081) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 86835772 + ... + 86835908.

It is an arithmetic number, because the mean of its divisors is an integer number (63183645).

Almost surely, 2^11896510080 is an apocalyptic number.

11896510080 is a gapful number since it is divisible by the number (10) 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 11896510080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24262519680).

11896510080 is an abundant number, since it is smaller than the sum of its proper divisors (36628529280).

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

11896510080 is a wasteful number, since it uses less digits than its factorization.

11896510080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 39.

The spelling of 11896510080 in words is "eleven billion, eight hundred ninety-six million, five hundred ten thousand, eighty".