10283272120800 has 720 divisors, whose sum is σ = 42931077235200. Its totient is φ = 2346476221440.

The previous prime is 10283272120769. The next prime is 10283272120819. The reversal of 10283272120800 is 802127238201.

10283272120800 is a `hidden beast` number, since 10 + 283 + 272 + 1 + 20 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 271687477 + ... + 271725323.

It is an arithmetic number, because the mean of its divisors is an integer number (59626496160).

Almost surely, 2^{10283272120800} is an apocalyptic number.

10283272120800 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 10283272120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21465538617600).

10283272120800 is an abundant number, since it is smaller than the sum of its proper divisors (32647805114400).

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

10283272120800 is a wasteful number, since it uses less digits than its factorization.

10283272120800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38485 (or 38463 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 10283272120800 in words is "ten trillion, two hundred eighty-three billion, two hundred seventy-two million, one hundred twenty thousand, eight hundred".