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54580868320 = 255111910511553
BaseRepresentation
bin110010110101010001…
…011111010011100000
312012212211112101121111
4302311101133103200
51343240200241240
641024001233104
73641364503656
oct626521372340
9165784471544
1054580868320
1121169528240
12a6b3032794
1351bab1bbb4
1428dac8add6
151646b091ea
hexcb545f4e0

54580868320 has 192 divisors, whose sum is σ = 148309781760. Its totient is φ = 18772992000.

The previous prime is 54580868257. The next prime is 54580868341. The reversal of 54580868320 is 2386808545.

54580868320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35144664 + ... + 35146216.

It is an arithmetic number, because the mean of its divisors is an integer number (772446780).

Almost surely, 254580868320 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 54580868320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74154890880).

54580868320 is an abundant number, since it is smaller than the sum of its proper divisors (93728913440).

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

54580868320 is a wasteful number, since it uses less digits than its factorization.

54580868320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 49.

The spelling of 54580868320 in words is "fifty-four billion, five hundred eighty million, eight hundred sixty-eight thousand, three hundred twenty".