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56505055200 = 25352115936277
BaseRepresentation
bin110100100111111101…
…101011011111100000
312101211221020012210020
4310213331223133200
51411210243231300
641542535233440
74040151021156
oct644775533740
9171757205706
1056505055200
1121a666a3330
12ab4b518880
135436670809
142a4064d3d6
15170a9e38a0
hexd27f6b7e0

56505055200 has 288 divisors, whose sum is σ = 204050689920. Its totient is φ = 13465651200.

The previous prime is 56505055183. The next prime is 56505055237. The reversal of 56505055200 is 255050565.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 1539462 + ... + 1575738.

It is an arithmetic number, because the mean of its divisors is an integer number (708509340).

Almost surely, 256505055200 is an apocalyptic number.

56505055200 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 56505055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102025344960).

56505055200 is an abundant number, since it is smaller than the sum of its proper divisors (147545634720).

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

56505055200 is a wasteful number, since it uses less digits than its factorization.

56505055200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36370 (or 36357 counting only the distinct ones).

The product of its (nonzero) digits is 37500, while the sum is 33.

The spelling of 56505055200 in words is "fifty-six billion, five hundred five million, fifty-five thousand, two hundred".