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55848960000 = 2153354101
BaseRepresentation
bin110100000000110110…
…111000000000000000
312100011012200010101000
4310000312320000000
51403334313210000
641353501012000
74014663220161
oct640066700000
9170135603330
1055848960000
112175a311299
12a9a7854000
1353607643c2
1429bb463768
1516bd0e5000
hexd00db8000

55848960000 has 640 divisors, whose sum is σ = 208825966800. Its totient is φ = 14745600000.

The previous prime is 55848959953. The next prime is 55848960007. The reversal of 55848960000 is 6984855.

55848960000 is a `hidden beast` number, since 5 + 584 + 8 + 9 + 60 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55848960007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 552959950 + ... + 552960050.

Almost surely, 255848960000 is an apocalyptic number.

55848960000 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 55848960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104412983400).

55848960000 is an abundant number, since it is smaller than the sum of its proper divisors (152977006800).

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

55848960000 is an frugal number, since it uses more digits than its factorization.

55848960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 55848960000 in words is "fifty-five billion, eight hundred forty-eight million, nine hundred sixty thousand".