995054306400 has 1152 divisors, whose sum is σ = 4522030571520. Its totient is φ = 205141248000.

The previous prime is 995054306381. The next prime is 995054306417. The reversal of 995054306400 is 4603450599.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 217876917 + ... + 217881483.

It is an arithmetic number, because the mean of its divisors is an integer number (3925373760).

Almost surely, 2^995054306400 is an apocalyptic number.

995054306400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 995054306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261015285760).

995054306400 is an abundant number, since it is smaller than the sum of its proper divisors (3526976265120).

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

995054306400 is a wasteful number, since it uses less digits than its factorization.

995054306400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4745 (or 4726 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

Adding to 995054306400 its reverse (4603450599), we get a palindrome (999657756999).

The spelling of 995054306400 in words is "nine hundred ninety-five billion, fifty-four million, three hundred six thousand, four hundred".