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53752675680 = 25345113112163
BaseRepresentation
bin110010000011111010…
…001011110101100000
312010202010010211220000
4302003322023311200
51340041141110210
640405454220000
73612020130114
oct620372136540
9163663124800
1053752675680
1120883a90910
12a5017b4600
1350b8377892
14285cca3744
1515e9063ac0
hexc83e8bd60

53752675680 has 480 divisors, whose sum is σ = 213641100288. Its totient is φ = 12609561600.

The previous prime is 53752675673. The next prime is 53752675687. The reversal of 53752675680 is 8657625735.

53752675680 is a `hidden beast` number, since 5 + 3 + 75 + 2 + 6 + 7 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53752675673) and next prime (53752675687).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53752675687) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 4413279 + ... + 4425441.

Almost surely, 253752675680 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 53752675680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106820550144).

53752675680 is an abundant number, since it is smaller than the sum of its proper divisors (159888424608).

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

53752675680 is a wasteful number, since it uses less digits than its factorization.

53752675680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12232 (or 12215 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 53752675680 in words is "fifty-three billion, seven hundred fifty-two million, six hundred seventy-five thousand, six hundred eighty".