11949546960 has 480 divisors, whose sum is σ = 46095049728. Its totient is φ = 2751344640.

The previous prime is 11949546953. The next prime is 11949546971. The reversal of 11949546960 is 6964594911.

11949546960 is a `hidden beast` number, since 1 + 1 + 9 + 4 + 9 + 546 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11949546897 and 11949546906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10117570 + ... + 10118750.

Almost surely, 2^11949546960 is an apocalyptic number.

11949546960 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 11949546960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23047524864).

11949546960 is an abundant number, since it is smaller than the sum of its proper divisors (34145502768).

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

11949546960 is a wasteful number, since it uses less digits than its factorization.

11949546960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 11949546960 in words is "eleven billion, nine hundred forty-nine million, five hundred forty-six thousand, nine hundred sixty".