11680002432 has 192 divisors, whose sum is σ = 39651855360. Its totient is φ = 3229424640.

The previous prime is 11680002419. The next prime is 11680002461. The reversal of 11680002432 is 23420008611.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-4 number, since 4×11680002432⁴ (a number of 41 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11680002396 and 11680002405.

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, 226623 + ... + 273345.

It is an arithmetic number, because the mean of its divisors is an integer number (206520080).

Almost surely, 2^11680002432 is an apocalyptic number.

11680002432 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 11680002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19825927680).

11680002432 is an abundant number, since it is smaller than the sum of its proper divisors (27971852928).

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

11680002432 is a wasteful number, since it uses less digits than its factorization.

11680002432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46781 (or 46766 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 11680002432 in words is "eleven billion, six hundred eighty million, two thousand, four hundred thirty-two".