200553830400 has 1152 divisors, whose sum is σ = 854825287680. Its totient is φ = 40255488000.

The previous prime is 200553830377. The next prime is 200553830429. The reversal of 200553830400 is 4038355002.

It is a super-2 number, since 2×200553830400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 366642927 + ... + 366643473.

It is an arithmetic number, because the mean of its divisors is an integer number (742035840).

Almost surely, 2^200553830400 is an apocalyptic number.

200553830400 is a gapful number since it is divisible by the number (20) 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 200553830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427412643840).

200553830400 is an abundant number, since it is smaller than the sum of its proper divisors (654271457280).

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

200553830400 is a wasteful number, since it uses less digits than its factorization.

200553830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 200553830400 in words is "two hundred billion, five hundred fifty-three million, eight hundred thirty thousand, four hundred".