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55023598080 = 293551121743
BaseRepresentation
bin110011001111101010…
…010111101000000000
312021000200121101200000
4303033222113220000
51400142020114310
641135534400000
73655351603203
oct631752275000
9167020541600
1055023598080
1121376428700
12a7b7360000
13525b771679
14293d9b593a
15167090d4c0
hexccfa97a00

55023598080 has 1440 divisors, whose sum is σ = 235345061952. Its totient is φ = 12262440960.

The previous prime is 55023598067. The next prime is 55023598127. The reversal of 55023598080 is 8089532055.

55023598080 is a `hidden beast` number, since 5 + 50 + 2 + 3 + 598 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1279618539 + ... + 1279618581.

Almost surely, 255023598080 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 55023598080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117672530976).

55023598080 is an abundant number, since it is smaller than the sum of its proper divisors (180321463872).

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

55023598080 is a wasteful number, since it uses less digits than its factorization.

55023598080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 55023598080 in words is "fifty-five billion, twenty-three million, five hundred ninety-eight thousand, eighty".