11906915328 has 1056 divisors, whose sum is σ = 48389114880. Its totient is φ = 2848849920.

The previous prime is 11906915327. The next prime is 11906915359. The reversal of 11906915328 is 82351960911.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×11906915328² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11906915327) 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, 253338601 + ... + 253338647.

Almost surely, 2^11906915328 is an apocalyptic number.

11906915328 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 11906915328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24194557440).

11906915328 is an abundant number, since it is smaller than the sum of its proper divisors (36482199552).

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

11906915328 is a wasteful number, since it uses less digits than its factorization.

11906915328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 87 counting only the distinct ones).

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

The spelling of 11906915328 in words is "eleven billion, nine hundred six million, nine hundred fifteen thousand, three hundred twenty-eight".