245100125330400 has 288 divisors, whose sum is σ = 846554910018048. Its totient is φ = 61382458368000.

The previous prime is 245100125330377. The next prime is 245100125330531. The reversal of 245100125330400 is 4033521001542.

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 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, 12402975 + ... + 25377825.

It is an arithmetic number, because the mean of its divisors is an integer number (2939426770896).

Almost surely, 2^{245100125330400} is an apocalyptic number.

245100125330400 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 245100125330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423277455009024).

245100125330400 is an abundant number, since it is smaller than the sum of its proper divisors (601454784687648).

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

245100125330400 is a wasteful number, since it uses less digits than its factorization.

245100125330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12975354 (or 12975341 counting only the distinct ones).

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

Adding to 245100125330400 its reverse (4033521001542), we get a palindrome (249133646331942).

The spelling of 245100125330400 in words is "two hundred forty-five trillion, one hundred billion, one hundred twenty-five million, three hundred thirty thousand, four hundred".