11833620480 has 480 divisors, whose sum is σ = 46306980720. Its totient is φ = 2866544640.

The previous prime is 11833620479. The next prime is 11833620493. The reversal of 11833620480 is 8402633811.

11833620480 is a `hidden beast` number, since 118 + 3 + 3 + 62 + 0 + 480 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9123192 + ... + 9124488.

Almost surely, 2^11833620480 is an apocalyptic number.

11833620480 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 11833620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23153490360).

11833620480 is an abundant number, since it is smaller than the sum of its proper divisors (34473360240).

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

11833620480 is a wasteful number, since it uses less digits than its factorization.

11833620480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 11833620480 in words is "eleven billion, eight hundred thirty-three million, six hundred twenty thousand, four hundred eighty".