56006050016 has 96 divisors (see below), whose sum is σ = 130931640000. Its totient is φ = 23073103872.

The previous prime is 56006049991. The next prime is 56006050031. The reversal of 56006050016 is 61005060065.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1468760 + ... + 1506408.

It is an arithmetic number, because the mean of its divisors is an integer number (1363871250).

Almost surely, 2^56006050016 is an apocalyptic number.

56006050016 is a gapful number since it is divisible by the number (56) 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 56006050016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65465820000).

56006050016 is an abundant number, since it is smaller than the sum of its proper divisors (74925589984).

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

56006050016 is a wasteful number, since it uses less digits than its factorization.

56006050016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37924 (or 37916 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The spelling of 56006050016 in words is "fifty-six billion, six million, fifty thousand, sixteen".