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54797904645120 = 210325713219191277
BaseRepresentation
bin11000111010110101000011…
…01001000000110000000000
321012000121222012012122112100
430131122201221000300000
524140302102042120440
6312313450533030400
714354006106130020
oct1435324151006000
9235017865178470
1054797904645120
111650772a6592aa
12619024b485400
132476560345600
14d763388b1a80
15650644eb1230
hex31d6a1a40c00

54797904645120 has 3168 divisors, whose sum is σ = 249533893140480. Its totient is φ = 10856560066560.

The previous prime is 54797904645097. The next prime is 54797904645181. The reversal of 54797904645120 is 2154640979745.

54797904645120 is a `hidden beast` number, since 5 + 4 + 7 + 9 + 79 + 0 + 46 + 4 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 197826370422 + ... + 197826370698.

Almost surely, 254797904645120 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 54797904645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124766946570240).

54797904645120 is an abundant number, since it is smaller than the sum of its proper divisors (194735988495360).

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

54797904645120 is a wasteful number, since it uses less digits than its factorization.

54797904645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 54797904645120 in words is "fifty-four trillion, seven hundred ninety-seven billion, nine hundred four million, six hundred forty-five thousand, one hundred twenty".