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56085356880 = 2433573176173
BaseRepresentation
bin110100001110111100…
…101010000101010000
312100202200111022221000
4310032330222011100
51404330322410010
641433143502000
74023563445000
oct641674520520
9170680438830
1056085356880
11218707a3813
12aa52a57900
13539a723207
142a009dc000
1516d3c3d7c0
hexd0ef2a150

56085356880 has 1280 divisors, whose sum is σ = 245769984000. Its totient is φ = 11705057280.

The previous prime is 56085356849. The next prime is 56085356911. The reversal of 56085356880 is 8865358065.

It is an interprime number because it is at equal distance from previous prime (56085356849) and next prime (56085356911).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 768292524 + ... + 768292596.

It is an arithmetic number, because the mean of its divisors is an integer number (192007800).

Almost surely, 256085356880 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 56085356880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122884992000).

56085356880 is an abundant number, since it is smaller than the sum of its proper divisors (189684627120).

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

56085356880 is a wasteful number, since it uses less digits than its factorization.

56085356880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 56085356880 in words is "fifty-six billion, eighty-five million, three hundred fifty-six thousand, eight hundred eighty".