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53990472960 = 28325193173109
BaseRepresentation
bin110010010010000101…
…010011110100000000
312011100200121012102200
4302102011103310000
51341033030113320
640445231113200
73620635306464
oct622205236400
9164320535380
1053990472960
112099623a496
12a569372800
135125706c28
1428826c44a4
15160ed87290
hexc92153d00

53990472960 has 864 divisors, whose sum is σ = 207644236800. Its totient is φ = 12899450880.

The previous prime is 53990472937. The next prime is 53990472961. The reversal of 53990472960 is 6927409935.

53990472960 is a `hidden beast` number, since 539 + 9 + 0 + 47 + 2 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 53990472897 and 53990472906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53990472961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 495325386 + ... + 495325494.

Almost surely, 253990472960 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 53990472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103822118400).

53990472960 is an abundant number, since it is smaller than the sum of its proper divisors (153653763840).

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

53990472960 is a wasteful number, since it uses less digits than its factorization.

53990472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 53990472960 in words is "fifty-three billion, nine hundred ninety million, four hundred seventy-two thousand, nine hundred sixty".