11916761472 has 960 divisors, whose sum is σ = 47274796800. Its totient is φ = 2910504960.

The previous prime is 11916761459. The next prime is 11916761509. The reversal of 11916761472 is 27416761911.

11916761472 is a `hidden beast` number, since 1 + 19 + 16 + 7 + 614 + 7 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 201978979 + ... + 201979037.

It is an arithmetic number, because the mean of its divisors is an integer number (49244580).

Almost surely, 2^11916761472 is an apocalyptic number.

11916761472 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 11916761472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23637398400).

11916761472 is an abundant number, since it is smaller than the sum of its proper divisors (35358035328).

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

11916761472 is a wasteful number, since it uses less digits than its factorization.

11916761472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 105 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The spelling of 11916761472 in words is "eleven billion, nine hundred sixteen million, seven hundred sixty-one thousand, four hundred seventy-two".