75513740425300 has 144 divisors (see below), whose sum is σ = 173869119914112. Its totient is φ = 28368927129600.

The previous prime is 75513740425261. The next prime is 75513740425303. The reversal of 75513740425300 is 352404731557.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75513740425303) 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 47 ways as a sum of consecutive naturals, for example, 1613138895 + ... + 1613185705.

It is an arithmetic number, because the mean of its divisors is an integer number (1207424443848).

Almost surely, 2^{75513740425300} 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 75513740425300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86934559957056).

75513740425300 is an abundant number, since it is smaller than the sum of its proper divisors (98355379488812).

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

75513740425300 is a wasteful number, since it uses less digits than its factorization.

75513740425300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48818 (or 48811 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 46.

The spelling of 75513740425300 in words is "seventy-five trillion, five hundred thirteen billion, seven hundred forty million, four hundred twenty-five thousand, three hundred".