56829960432000 has 1536 divisors, whose sum is σ = 242790031411200. Its totient is φ = 12463795814400.

The previous prime is 56829960431947. The next prime is 56829960432041. The reversal of 56829960432000 is 23406992865.

It is a happy number.

56829960432000 is a `hidden beast` number, since 5 + 6 + 8 + 2 + 9 + 9 + 604 + 3 + 20 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4764810037 + ... + 4764821963.

It is an arithmetic number, because the mean of its divisors is an integer number (158066426700).

Almost surely, 2^{56829960432000} is an apocalyptic number.

56829960432000 is a gapful number since it is divisible by the number (50) 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 56829960432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121395015705600).

56829960432000 is an abundant number, since it is smaller than the sum of its proper divisors (185960070979200).

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

56829960432000 is a wasteful number, since it uses less digits than its factorization.

56829960432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12161 (or 12136 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 56829960432000 in words is "fifty-six trillion, eight hundred twenty-nine billion, nine hundred sixty million, four hundred thirty-two thousand".