921253705200 has 240 divisors, whose sum is σ = 3302920251360. Its totient is φ = 243874068480.

The previous prime is 921253705189. The next prime is 921253705219. The reversal of 921253705200 is 2507352129.

921253705200 is a `hidden beast` number, since 9 + 2 + 12 + 53 + 70 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1168282 + ... + 1790918.

It is an arithmetic number, because the mean of its divisors is an integer number (13762167714).

Almost surely, 2^921253705200 is an apocalyptic number.

921253705200 is a gapful number since it is divisible by the number (90) 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 921253705200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651460125680).

921253705200 is an abundant number, since it is smaller than the sum of its proper divisors (2381666546160).

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

921253705200 is a wasteful number, since it uses less digits than its factorization.

921253705200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622801 (or 622784 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 921253705200 in words is "nine hundred twenty-one billion, two hundred fifty-three million, seven hundred five thousand, two hundred".