10204396567200 has 2304 divisors, whose sum is σ = 43704802713600. Its totient is φ = 2270409523200.

The previous prime is 10204396567177. The next prime is 10204396567207. The reversal of 10204396567200 is 276569340201.

10204396567200 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 4 + 396 + 56 + 7 + 200 = 666.

It is a super-3 number, since 3×10204396567200³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10204396567207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 36057938259 + ... + 36057938541.

It is an arithmetic number, because the mean of its divisors is an integer number (18969098400).

Almost surely, 2^{10204396567200} is an apocalyptic number.

10204396567200 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 10204396567200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21852401356800).

10204396567200 is an abundant number, since it is smaller than the sum of its proper divisors (33500406146400).

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

10204396567200 is a wasteful number, since it uses less digits than its factorization.

10204396567200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 10204396567200 in words is "ten trillion, two hundred four billion, three hundred ninety-six million, five hundred sixty-seven thousand, two hundred".