245553022131200 has 792 divisors, whose sum is σ = 723915882266400. Its totient is φ = 80876991283200.

The previous prime is 245553022131187. The next prime is 245553022131247. The reversal of 245553022131200 is 2131220355542.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20211782726 + ... + 20211794874.

Almost surely, 2^{245553022131200} is an apocalyptic number.

245553022131200 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 245553022131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361957941133200).

245553022131200 is an abundant number, since it is smaller than the sum of its proper divisors (478362860135200).

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

245553022131200 is a wasteful number, since it uses less digits than its factorization.

245553022131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12333 (or 12267 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 245553022131200 its reverse (2131220355542), we get a palindrome (247684242486742).

The spelling of 245553022131200 in words is "two hundred forty-five trillion, five hundred fifty-three billion, twenty-two million, one hundred thirty-one thousand, two hundred".