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12800450560 = 21351731593
BaseRepresentation
bin10111110101111011…
…10110000000000000
31020001002022021002111
423322331312000000
5202203403404220
65514102025104
7632131014562
oct137275660000
936032267074
1012800450560
11547957aa67
122592a18194
13128cc44801
14896063332
154edb8615a
hex2faf76000

12800450560 has 224 divisors, whose sum is σ = 33632070912. Its totient is φ = 4655677440.

The previous prime is 12800450549. The next prime is 12800450569. The reversal of 12800450560 is 6505400821.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12800450569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21585624 + ... + 21586216.

Almost surely, 212800450560 is an apocalyptic number.

12800450560 is a gapful number since it is divisible by the number (10) 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 12800450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16816035456).

12800450560 is an abundant number, since it is smaller than the sum of its proper divisors (20831620352).

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

12800450560 is an equidigital number, since it uses as much as digits as its factorization.

12800450560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The spelling of 12800450560 in words is "twelve billion, eight hundred million, four hundred fifty thousand, five hundred sixty".