95005198400 has 1008 divisors, whose sum is σ = 310223001600. Its totient is φ = 28399472640.

The previous prime is 95005198399. The next prime is 95005198403. The reversal of 95005198400 is 489150059.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95005198403) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1610257571 + ... + 1610257629.

Almost surely, 2^95005198400 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 95005198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155111500800).

95005198400 is an abundant number, since it is smaller than the sum of its proper divisors (215217803200).

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

95005198400 is a wasteful number, since it uses less digits than its factorization.

95005198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 41.

The spelling of 95005198400 in words is "ninety-five billion, five million, one hundred ninety-eight thousand, four hundred".