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55488456000 = 2633533753131
BaseRepresentation
bin110011101011010111…
…101010010101000000
312022020002022121212000
4303223113222111000
51402120021043000
641254022104000
74003025044125
oct635327522500
9168202277760
1055488456000
11215948722aa
12a906b7b000
135303b71123
14298562074c
15169b634000
hexceb5ea540

55488456000 has 896 divisors, whose sum is σ = 214654302720. Its totient is φ = 14017536000.

The previous prime is 55488455917. The next prime is 55488456017. The reversal of 55488456000 is 65488455.

55488456000 is a `hidden beast` number, since 5 + 5 + 4 + 8 + 84 + 560 + 0 + 0 = 666.

55488456000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 423575935 + ... + 423576065.

Almost surely, 255488456000 is an apocalyptic number.

55488456000 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 55488456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107327151360).

55488456000 is an abundant number, since it is smaller than the sum of its proper divisors (159165846720).

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

55488456000 is a wasteful number, since it uses less digits than its factorization.

55488456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 55488456000 in words is "fifty-five billion, four hundred eighty-eight million, four hundred fifty-six thousand".