11905896960 has 480 divisors, whose sum is σ = 44209067760. Its totient is φ = 2950692864.

The previous prime is 11905896941. The next prime is 11905897027. The reversal of 11905896960 is 6969850911.

It can be written as a sum of positive squares in 8 ways, for example, as 865771776 + 11040125184 = 29424^2 + 105072^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 11905896897 and 11905896906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44259706 + ... + 44259974.

Almost surely, 2^11905896960 is an apocalyptic number.

11905896960 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 11905896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22104533880).

11905896960 is an abundant number, since it is smaller than the sum of its proper divisors (32303170800).

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

11905896960 is a wasteful number, since it uses less digits than its factorization.

11905896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

Subtracting from 11905896960 its reverse (6969850911), we obtain a square (4936046049 = 70257²).

The spelling of 11905896960 in words is "eleven billion, nine hundred five million, eight hundred ninety-six thousand, nine hundred sixty".