10283805823200 has 576 divisors, whose sum is σ = 41315527636992. Its totient is φ = 2163607142400.

The previous prime is 10283805823189. The next prime is 10283805823201. The reversal of 10283805823200 is 232850838201.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10283805823201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77028505 + ... + 77161895.

It is an arithmetic number, because the mean of its divisors is an integer number (71728346592).

Almost surely, 2^{10283805823200} is an apocalyptic number.

10283805823200 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 10283805823200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20657763818496).

10283805823200 is an abundant number, since it is smaller than the sum of its proper divisors (31031721813792).

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

10283805823200 is a wasteful number, since it uses less digits than its factorization.

10283805823200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133787 (or 133774 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 10283805823200 in words is "ten trillion, two hundred eighty-three billion, eight hundred five million, eight hundred twenty-three thousand, two hundred".