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53392711680 = 213345711219
BaseRepresentation
bin110001101110011101…
…000010000000000000
312002211000210210010000
4301232131002000000
51333322013233210
640310035040000
73600056363310
oct615635020000
9162730723100
1053392711680
1120709880600
12a421140000
13505b913329
142827161440
1515c765cac0
hexc6e742000

53392711680 has 1680 divisors, whose sum is σ = 253105554240. Its totient is φ = 10510663680.

The previous prime is 53392711651. The next prime is 53392711711. The reversal of 53392711680 is 8611729335.

53392711680 is a `hidden beast` number, since 533 + 9 + 27 + 1 + 16 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2810142711 + ... + 2810142729.

It is an arithmetic number, because the mean of its divisors is an integer number (150658068).

Almost surely, 253392711680 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 53392711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126552777120).

53392711680 is an abundant number, since it is smaller than the sum of its proper divisors (199712842560).

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

53392711680 is a wasteful number, since it uses less digits than its factorization.

53392711680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 53392711680 in words is "fifty-three billion, three hundred ninety-two million, seven hundred eleven thousand, six hundred eighty".