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56321919360 = 27325717127647
BaseRepresentation
bin110100011101000011…
…000100100110000000
312101101011121221122100
4310131003010212000
51410321402404420
641512434110400
74032465262350
oct643503044600
9171334557570
1056321919360
11219822896a3
12aaba11b400
13540773c505
142a241bab60
1516e98bb190
hexd1d0c4980

56321919360 has 768 divisors, whose sum is σ = 237564887040. Its totient is φ = 12002328576.

The previous prime is 56321919359. The next prime is 56321919371. The reversal of 56321919360 is 6391912365.

56321919360 is a `hidden beast` number, since 5 + 63 + 219 + 19 + 360 = 666.

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 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, 87050557 + ... + 87051203.

It is an arithmetic number, because the mean of its divisors is an integer number (309329280).

Almost surely, 256321919360 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 56321919360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118782443520).

56321919360 is an abundant number, since it is smaller than the sum of its proper divisors (181242967680).

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

56321919360 is a wasteful number, since it uses less digits than its factorization.

56321919360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 56321919360 in words is "fifty-six billion, three hundred twenty-one million, nine hundred nineteen thousand, three hundred sixty".