955205222400 has 1632 divisors, whose sum is σ = 4150316029440. Its totient is φ = 212336640000.

The previous prime is 955205222399. The next prime is 955205222407. The reversal of 955205222400 is 4222502559.

It is a happy number.

955205222400 is a `hidden beast` number, since 9 + 5 + 5 + 20 + 5 + 222 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (955205222407) 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, 6325862325 + ... + 6325862475.

Almost surely, 2^955205222400 is an apocalyptic number.

955205222400 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 955205222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075158014720).

955205222400 is an abundant number, since it is smaller than the sum of its proper divisors (3195110807040).

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

955205222400 is a wasteful number, since it uses less digits than its factorization.

955205222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 955205222400 its reverse (4222502559), we get a palindrome (959427724959).

The spelling of 955205222400 in words is "nine hundred fifty-five billion, two hundred five million, two hundred twenty-two thousand, four hundred".