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55568338800 = 24352133899157
BaseRepresentation
bin110011110000001000…
…011000111101110000
312022102122122002110020
4303300020120331300
51402300443320200
641305554203440
74005015041442
oct636010307560
9168378562406
1055568338800
1121625973447
12a929883580
135317590060
142992096492
1516a3662ea0
hexcf0218f70

55568338800 has 240 divisors, whose sum is σ = 192210301920. Its totient is φ = 13641707520.

The previous prime is 55568338673. The next prime is 55568338823. The reversal of 55568338800 is 883386555.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6063822 + ... + 6072978.

It is an arithmetic number, because the mean of its divisors is an integer number (800876258).

Almost surely, 255568338800 is an apocalyptic number.

55568338800 is a gapful number since it is divisible by the number (50) 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 55568338800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96105150960).

55568338800 is an abundant number, since it is smaller than the sum of its proper divisors (136641963120).

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

55568338800 is a wasteful number, since it uses less digits than its factorization.

55568338800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9580 (or 9569 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 55568338800 in words is "fifty-five billion, five hundred sixty-eight million, three hundred thirty-eight thousand, eight hundred".