13545300222400 has 168 divisors, whose sum is σ = 34236048882096. Its totient is φ = 5270862643200.

The previous prime is 13545300222379. The next prime is 13545300222457. The reversal of 13545300222400 is 422200354531.

It is a super-2 number, since 2×13545300222400² (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 496496760 + ... + 496524040.

Almost surely, 2^{13545300222400} is an apocalyptic number.

13545300222400 is a gapful number since it is divisible by the number (10) 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 13545300222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17118024441048).

13545300222400 is an abundant number, since it is smaller than the sum of its proper divisors (20690748659696).

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

13545300222400 is a wasteful number, since it uses less digits than its factorization.

13545300222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35727 (or 35712 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 13545300222400 its reverse (422200354531), we get a palindrome (13967500576931).

The spelling of 13545300222400 in words is "thirteen trillion, five hundred forty-five billion, three hundred million, two hundred twenty-two thousand, four hundred".