995126675400 has 1152 divisors, whose sum is σ = 4014305568000. Its totient is φ = 219570278400.

The previous prime is 995126675293. The next prime is 995126675441. The reversal of 995126675400 is 4576621599.

995126675400 is a `hidden beast` number, since 9 + 95 + 1 + 2 + 6 + 6 + 7 + 540 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2771940421 + ... + 2771940779.

It is an arithmetic number, because the mean of its divisors is an integer number (3484640250).

Almost surely, 2^995126675400 is an apocalyptic number.

995126675400 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 995126675400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007152784000).

995126675400 is an abundant number, since it is smaller than the sum of its proper divisors (3019178892600).

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

995126675400 is a wasteful number, since it uses less digits than its factorization.

995126675400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 995126675400 in words is "nine hundred ninety-five billion, one hundred twenty-six million, six hundred seventy-five thousand, four hundred".