11682924480 has 168 divisors, whose sum is σ = 40693848000. Its totient is φ = 3075950592.

The previous prime is 11682924443. The next prime is 11682924499. The reversal of 11682924480 is 8442928611.

11682924480 is a `hidden beast` number, since 1 + 1 + 6 + 82 + 92 + 4 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201846 + ... + 253194.

Almost surely, 2^11682924480 is an apocalyptic number.

11682924480 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 11682924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20346924000).

11682924480 is an abundant number, since it is smaller than the sum of its proper divisors (29010923520).

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

11682924480 is a wasteful number, since it uses less digits than its factorization.

11682924480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51451 (or 51438 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 11682924480 in words is "eleven billion, six hundred eighty-two million, nine hundred twenty-four thousand, four hundred eighty".