56814217016832 has 480 divisors, whose sum is σ = 189498621312000. Its totient is φ = 16195101327360.

The previous prime is 56814217016773. The next prime is 56814217016833. The reversal of 56814217016832 is 23861071241865.

It is a happy number.

56814217016832 is a `hidden beast` number, since 5 + 68 + 1 + 421 + 70 + 1 + 68 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56814217016833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1722513813 + ... + 1722546795.

It is an arithmetic number, because the mean of its divisors is an integer number (394788794400).

Almost surely, 2^{56814217016832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56814217016832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94749310656000).

56814217016832 is an abundant number, since it is smaller than the sum of its proper divisors (132684404295168).

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

56814217016832 is a wasteful number, since it uses less digits than its factorization.

56814217016832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35034 (or 35015 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 56814217016832 in words is "fifty-six trillion, eight hundred fourteen billion, two hundred seventeen million, sixteen thousand, eight hundred thirty-two".