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56487805920 = 25345713211227
BaseRepresentation
bin110100100110111011…
…111000001111100000
312101210201202212020000
4310212323320033200
51411141334242140
641541121420000
74036551266550
oct644673701740
9171721685200
1056487805920
1121a57991727
12ab4579a600
135432c11440
142a3c23d160
151709237a30
hexd26ef83e0

56487805920 has 960 divisors, whose sum is σ = 247608700416. Its totient is φ = 11809566720.

The previous prime is 56487805861. The next prime is 56487805937. The reversal of 56487805920 is 2950878465.

56487805920 is a `hidden beast` number, since 5 + 6 + 48 + 7 + 8 + 0 + 592 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 248844847 + ... + 248845073.

Almost surely, 256487805920 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 56487805920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123804350208).

56487805920 is an abundant number, since it is smaller than the sum of its proper divisors (191120894496).

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

56487805920 is a wasteful number, since it uses less digits than its factorization.

56487805920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 56487805920 in words is "fifty-six billion, four hundred eighty-seven million, eight hundred five thousand, nine hundred twenty".