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53465795712 = 2734721929191
BaseRepresentation
bin110001110010110011…
…110100110010000000
312010000010022211120000
4301302303310302000
51333444220430322
640321205320000
73601634523300
oct616263646200
9163003284500
1053465795712
112074705872a
12a441706000
135070ac1814
142832b47600
1515cdc973ac
hexc72cf4c80

53465795712 has 960 divisors, whose sum is σ = 202606272000. Its totient is φ = 13899755520.

The previous prime is 53465795711. The next prime is 53465795723. The reversal of 53465795712 is 21759756435.

It is a happy number.

53465795712 is a `hidden beast` number, since 5 + 3 + 4 + 6 + 579 + 57 + 12 = 666.

It is a super-2 number, since 2×534657957122 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (53465795711) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 279925537 + ... + 279925727.

It is an arithmetic number, because the mean of its divisors is an integer number (211048200).

Almost surely, 253465795712 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 53465795712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101303136000).

53465795712 is an abundant number, since it is smaller than the sum of its proper divisors (149140476288).

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

53465795712 is a wasteful number, since it uses less digits than its factorization.

53465795712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 251 counting only the distinct ones).

The product of its digits is 7938000, while the sum is 54.

The spelling of 53465795712 in words is "fifty-three billion, four hundred sixty-five million, seven hundred ninety-five thousand, seven hundred twelve".