11951607072 has 96 divisors (see below), whose sum is σ = 32603558400. Its totient is φ = 3829340160.

The previous prime is 11951607067. The next prime is 11951607091. The reversal of 11951607072 is 27070615911.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 11951607072.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429948 + ... + 456900.

It is an arithmetic number, because the mean of its divisors is an integer number (339620400).

Almost surely, 2^11951607072 is an apocalyptic number.

11951607072 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 11951607072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16301779200).

11951607072 is an abundant number, since it is smaller than the sum of its proper divisors (20651951328).

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

11951607072 is a wasteful number, since it uses less digits than its factorization.

11951607072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27146 (or 27138 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 39.

The spelling of 11951607072 in words is "eleven billion, nine hundred fifty-one million, six hundred seven thousand, seventy-two".