75285234400 has 144 divisors (see below), whose sum is σ = 194787470304. Its totient is φ = 28315566080.

The previous prime is 75285234397. The next prime is 75285234407. The reversal of 75285234400 is 443258257.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75285234407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19486869 + ... + 19490731.

It is an arithmetic number, because the mean of its divisors is an integer number (1352690766).

Almost surely, 2^75285234400 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 75285234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97393735152).

75285234400 is an abundant number, since it is smaller than the sum of its proper divisors (119502235904).

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

75285234400 is a wasteful number, since it uses less digits than its factorization.

75285234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5333 (or 5320 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 40.

The spelling of 75285234400 in words is "seventy-five billion, two hundred eighty-five million, two hundred thirty-four thousand, four hundred".