75506551200 has 864 divisors, whose sum is σ = 290453409792. Its totient is φ = 18413568000.

The previous prime is 75506551181. The next prime is 75506551207. The reversal of 75506551200 is 215560557.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (75506551207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 338594289 + ... + 338594511.

It is an arithmetic number, because the mean of its divisors is an integer number (336172928).

Almost surely, 2^75506551200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75506551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145226704896).

75506551200 is an abundant number, since it is smaller than the sum of its proper divisors (214946858592).

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

75506551200 is a wasteful number, since it uses less digits than its factorization.

75506551200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The spelling of 75506551200 in words is "seventy-five billion, five hundred six million, five hundred fifty-one thousand, two hundred".