75555450401200 has 480 divisors, whose sum is σ = 228240561669120. Its totient is φ = 23349772800000.

The previous prime is 75555450401161. The next prime is 75555450401201. The reversal of 75555450401200 is 210405455557.

It is a super-2 number, since 2×75555450401200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (75555450401201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2516067786 + ... + 2516097814.

It is an arithmetic number, because the mean of its divisors is an integer number (475501170144).

Almost surely, 2^{75555450401200} is an apocalyptic number.

75555450401200 is a gapful number since it is divisible by the number (70) 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 75555450401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114120280834560).

75555450401200 is an abundant number, since it is smaller than the sum of its proper divisors (152685111267920).

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

75555450401200 is a wasteful number, since it uses less digits than its factorization.

75555450401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30757 (or 30746 counting only the distinct ones).

The product of its (nonzero) digits is 700000, while the sum is 43.

Adding to 75555450401200 its reverse (210405455557), we get a palindrome (75765855856757).

The spelling of 75555450401200 in words is "seventy-five trillion, five hundred fifty-five billion, four hundred fifty million, four hundred one thousand, two hundred".