75413425471800 has 192 divisors, whose sum is σ = 251793714170880. Its totient is φ = 18561174320640.

The previous prime is 75413425471759. The next prime is 75413425471837. The reversal of 75413425471800 is 817452431457.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67956997 + ... + 69057803.

It is an arithmetic number, because the mean of its divisors is an integer number (1311425594640).

Almost surely, 2^{75413425471800} 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 75413425471800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125896857085440).

75413425471800 is an abundant number, since it is smaller than the sum of its proper divisors (176380288699080).

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

75413425471800 is a wasteful number, since it uses less digits than its factorization.

75413425471800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109622 (or 1109613 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 51.

The spelling of 75413425471800 in words is "seventy-five trillion, four hundred thirteen billion, four hundred twenty-five million, four hundred seventy-one thousand, eight hundred".