253002322234400 has 288 divisors, whose sum is σ = 664659456572160. Its totient is φ = 93695583928320.

The previous prime is 253002322234391. The next prime is 253002322234427. The reversal of 253002322234400 is 4432223200352.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 654959714 + ... + 655345886.

It is an arithmetic number, because the mean of its divisors is an integer number (2307845335320).

Almost surely, 2^{253002322234400} is an apocalyptic number.

253002322234400 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 253002322234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332329728286080).

253002322234400 is an abundant number, since it is smaller than the sum of its proper divisors (411657134337760).

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

253002322234400 is a wasteful number, since it uses less digits than its factorization.

253002322234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386996 (or 386983 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 32.

Adding to 253002322234400 its reverse (4432223200352), we get a palindrome (257434545434752).

The spelling of 253002322234400 in words is "two hundred fifty-three trillion, two billion, three hundred twenty-two million, two hundred thirty-four thousand, four hundred".