95648435500800 has 864 divisors, whose sum is σ = 389086380433408. Its totient is φ = 20150534799360.

The previous prime is 95648435500759. The next prime is 95648435500817. The reversal of 95648435500800 is 800553484659.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1175824929 + ... + 1175906271.

Almost surely, 2^{95648435500800} 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 95648435500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194543190216704).

95648435500800 is an abundant number, since it is smaller than the sum of its proper divisors (293437944932608).

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

95648435500800 is a wasteful number, since it uses less digits than its factorization.

95648435500800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82065 (or 82046 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 57.

The spelling of 95648435500800 in words is "ninety-five trillion, six hundred forty-eight billion, four hundred thirty-five million, five hundred thousand, eight hundred".