253553200000 has 96 divisors (see below), whose sum is σ = 631367480520. Its totient is φ = 101421120000.

The previous prime is 253553199953. The next prime is 253553200003. The reversal of 253553200000 is 2355352.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253553200003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83059 + ... + 716941.

Almost surely, 2^253553200000 is an apocalyptic number.

253553200000 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 253553200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315683740260).

253553200000 is an abundant number, since it is smaller than the sum of its proper divisors (377814280520).

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

253553200000 is an frugal number, since it uses more digits than its factorization.

253553200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633922 (or 633890 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 25.

Adding to 253553200000 its reverse (2355352), we get a palindrome (253555555352).

The spelling of 253553200000 in words is "two hundred fifty-three billion, five hundred fifty-three million, two hundred thousand".