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56530575360 = 2133257191153
BaseRepresentation
bin110100101001011111…
…000010000000000000
312101220201020202212100
4310221133002000000
51411233311402420
641545250230400
74040610651030
oct645137020000
9171821222770
1056530575360
1121a7a043a76
12ab57b85400
13543ba376bc
142a43bb38c0
15170cd85190
hexd297c2000

56530575360 has 672 divisors, whose sum is σ = 235946655360. Its totient is φ = 12230590464.

The previous prime is 56530575329. The next prime is 56530575391. The reversal of 56530575360 is 6357503565.

It is a happy number.

56530575360 is a `hidden beast` number, since 5 + 6 + 530 + 5 + 7 + 53 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (56530575329) and next prime (56530575391).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49028544 + ... + 49029696.

Almost surely, 256530575360 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 56530575360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117973327680).

56530575360 is an abundant number, since it is smaller than the sum of its proper divisors (179416080000).

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

56530575360 is a wasteful number, since it uses less digits than its factorization.

56530575360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 1417500, while the sum is 45.

The spelling of 56530575360 in words is "fifty-six billion, five hundred thirty million, five hundred seventy-five thousand, three hundred sixty".