56335116420000 has 720 divisors, whose sum is σ = 225433755106560. Its totient is φ = 13216435200000.

The previous prime is 56335116419993. The next prime is 56335116420013. The reversal of 56335116420000 is 2461153365.

56335116420000 is a `hidden beast` number, since 5 + 6 + 3 + 3 + 5 + 1 + 1 + 642 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 60921096 + ... + 61838904.

It is an arithmetic number, because the mean of its divisors is an integer number (313102437648).

Almost surely, 2^{56335116420000} is an apocalyptic number.

56335116420000 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 56335116420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112716877553280).

56335116420000 is an abundant number, since it is smaller than the sum of its proper divisors (169098638686560).

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

56335116420000 is a wasteful number, since it uses less digits than its factorization.

56335116420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917887 (or 917861 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 56335116420000 its reverse (2461153365), we get a palindrome (56337577573365).

The spelling of 56335116420000 in words is "fifty-six trillion, three hundred thirty-five billion, one hundred sixteen million, four hundred twenty thousand".