10263285043200 has 2808 divisors, whose sum is σ = 46941024410280. Its totient is φ = 2127141273600.

The previous prime is 10263285043169. The next prime is 10263285043303. The reversal of 10263285043200 is 234058236201.

10263285043200 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 328 + 5 + 0 + 4 + 320 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2075812429824 + 8187472613376 = 1440768^2 + 2861376^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 22263090970 + ... + 22263091430.

It is an arithmetic number, because the mean of its divisors is an integer number (16716889035).

Almost surely, 2^{10263285043200} is an apocalyptic number.

10263285043200 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 10263285043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23470512205140).

10263285043200 is an abundant number, since it is smaller than the sum of its proper divisors (36677739367080).

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

10263285043200 is a wasteful number, since it uses less digits than its factorization.

10263285043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 10263285043200 in words is "ten trillion, two hundred sixty-three billion, two hundred eighty-five million, forty-three thousand, two hundred".