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56685552000 = 273537311313
BaseRepresentation
bin110100110010101110…
…001110000110000000
312102022111212101211220
4310302232032012000
51412043000131000
642012504035040
74044502146000
oct646256160600
9172274771756
1056685552000
1122049575240
12ab9ba62a80
135464b8985c
142a5a5d6000
15171b7991a0
hexd32b8e180

56685552000 has 1024 divisors, whose sum is σ = 239825664000. Its totient is φ = 11741184000.

The previous prime is 56685551977. The next prime is 56685552017. The reversal of 56685552000 is 25558665.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 181103844 + ... + 181104156.

It is an arithmetic number, because the mean of its divisors is an integer number (234204750).

Almost surely, 256685552000 is an apocalyptic number.

56685552000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56685552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119912832000).

56685552000 is an abundant number, since it is smaller than the sum of its proper divisors (183140112000).

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

56685552000 is a wasteful number, since it uses less digits than its factorization.

56685552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

The spelling of 56685552000 in words is "fifty-six billion, six hundred eighty-five million, five hundred fifty-two thousand".