56301833016 has 192 divisors, whose sum is σ = 180048960000. Its totient is φ = 15669054720.

The previous prime is 56301832949. The next prime is 56301833017. The reversal of 56301833016 is 61033810365.

It is a happy number.

56301833016 is a `hidden beast` number, since 5 + 6 + 301 + 8 + 330 + 16 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56301833017) 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, 2035165 + ... + 2062643.

It is an arithmetic number, because the mean of its divisors is an integer number (937755000).

Almost surely, 2^56301833016 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 56301833016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90024480000).

56301833016 is an abundant number, since it is smaller than the sum of its proper divisors (123747126984).

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

56301833016 is a wasteful number, since it uses less digits than its factorization.

56301833016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27714 (or 27707 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 56301833016 in words is "fifty-six billion, three hundred one million, eight hundred thirty-three thousand, sixteen".