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55896065280 = 283551117312
BaseRepresentation
bin110100000011101010…
…100100010100000000
312100021111022022200000
4310003222210110000
51403433343042110
641402302400000
74016104500306
oct640352442400
9170244268600
1055896065280
1121783965180
12a9bb590000
13536a448053
1429c3806276
1516c22ec1c0
hexd03aa4500

55896065280 has 1296 divisors, whose sum is σ = 239373755712. Its totient is φ = 12342067200.

The previous prime is 55896065257. The next prime is 55896065293. The reversal of 55896065280 is 8256069855.

55896065280 is a `hidden beast` number, since 5 + 5 + 8 + 9 + 606 + 5 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×558960652802 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 143 ways as a sum of consecutive naturals, for example, 1803098865 + ... + 1803098895.

It is an arithmetic number, because the mean of its divisors is an integer number (184701972).

Almost surely, 255896065280 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 55896065280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119686877856).

55896065280 is an abundant number, since it is smaller than the sum of its proper divisors (183477690432).

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

55896065280 is a wasteful number, since it uses less digits than its factorization.

55896065280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 55896065280 in words is "fifty-five billion, eight hundred ninety-six million, sixty-five thousand, two hundred eighty".