11535943680 has 576 divisors, whose sum is σ = 42499416960. Its totient is φ = 2890137600.

The previous prime is 11535943673. The next prime is 11535943703. The reversal of 11535943680 is 8634953511.

11535943680 is a `hidden beast` number, since 1 + 1 + 53 + 594 + 3 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 162478045 + ... + 162478115.

It is an arithmetic number, because the mean of its divisors is an integer number (73783710).

Almost surely, 2^11535943680 is an apocalyptic number.

11535943680 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 11535943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21249708480).

11535943680 is an abundant number, since it is smaller than the sum of its proper divisors (30963473280).

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

11535943680 is a wasteful number, since it uses less digits than its factorization.

11535943680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 11535943680 in words is "eleven billion, five hundred thirty-five million, nine hundred forty-three thousand, six hundred eighty".