11951096832 has 352 divisors, whose sum is σ = 38343421440. Its totient is φ = 3662807040.

The previous prime is 11951096831. The next prime is 11951096851. The reversal of 11951096832 is 23869015911.

11951096832 is a `hidden beast` number, since 1 + 19 + 510 + 96 + 8 + 32 = 666.

It is a super-3 number, since 3×11951096832³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11951096831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22090482 + ... + 22091022.

Almost surely, 2^11951096832 is an apocalyptic number.

11951096832 is a gapful number since it is divisible by the number (12) 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 11951096832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19171710720).

11951096832 is an abundant number, since it is smaller than the sum of its proper divisors (26392324608).

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

11951096832 is a wasteful number, since it uses less digits than its factorization.

11951096832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 11951096832 in words is "eleven billion, nine hundred fifty-one million, ninety-six thousand, eight hundred thirty-two".