56206545120 has 288 divisors, whose sum is σ = 221551031520. Its totient is φ = 12824248320.

The previous prime is 56206545091. The next prime is 56206545121. The reversal of 56206545120 is 2154560265.

56206545120 is a `hidden beast` number, since 5 + 620 + 6 + 5 + 4 + 5 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (56206545121) 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, 164916 + ... + 373644.

It is an arithmetic number, because the mean of its divisors is an integer number (769274415).

Almost surely, 2^56206545120 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 56206545120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110775515760).

56206545120 is an abundant number, since it is smaller than the sum of its proper divisors (165344486400).

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

56206545120 is a wasteful number, since it uses less digits than its factorization.

56206545120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208778 (or 208767 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 56206545120 in words is "fifty-six billion, two hundred six million, five hundred forty-five thousand, one hundred twenty".