10282531200 has 192 divisors, whose sum is σ = 34200192000. Its totient is φ = 2715125760.

The previous prime is 10282531199. The next prime is 10282531201. The reversal of 10282531200 is 213528201.

It is an interprime number because it is at equal distance from previous prime (10282531199) and next prime (10282531201).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10282531201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 983601 + ... + 993999.

It is an arithmetic number, because the mean of its divisors is an integer number (178126000).

Almost surely, 2^10282531200 is an apocalyptic number.

10282531200 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 10282531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17100096000).

10282531200 is an abundant number, since it is smaller than the sum of its proper divisors (23917660800).

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

10282531200 is a wasteful number, since it uses less digits than its factorization.

10282531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10529 (or 10512 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 10282531200 in words is "ten billion, two hundred eighty-two million, five hundred thirty-one thousand, two hundred".