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55871212320 = 253357111011663
BaseRepresentation
bin110100000010001011…
…110000101100100000
312100012202112122211000
4310002023300230200
51403411012243240
641400013552000
74015353316560
oct640213605440
9170182478730
1055871212320
112177092a840
12a9b31a5600
135365255a61
1429c03b6da0
1516c003d430
hexd022f0b20

55871212320 has 768 divisors, whose sum is σ = 246363586560. Its totient is φ = 11487744000.

The previous prime is 55871212307. The next prime is 55871212321. The reversal of 55871212320 is 2321217855.

55871212320 is a `hidden beast` number, since 5 + 58 + 71 + 212 + 320 = 666.

It is a super-2 number, since 2×558712123202 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (55871212321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33595809 + ... + 33597471.

It is an arithmetic number, because the mean of its divisors is an integer number (320785920).

Almost surely, 255871212320 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 55871212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123181793280).

55871212320 is an abundant number, since it is smaller than the sum of its proper divisors (190492374240).

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

55871212320 is a wasteful number, since it uses less digits than its factorization.

55871212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 55871212320 in words is "fifty-five billion, eight hundred seventy-one million, two hundred twelve thousand, three hundred twenty".