95004009000000 has 1715 divisors, whose sum is σ = 372944053813601. Its totient is φ = 24001012800000.

The previous prime is 95004008999993. The next prime is 95004009000049. The reversal of 95004009000000 is 90040059.

It is a happy number.

The square root of 95004009000000 is 9747000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 83232632268864 + 11771376731136 = 9123192^2 + 3430944^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 95004009000000 = 5700³ + 45600³ = 25650³ + 42750³.

It is an unprimeable number.

It is a polite number, since it can be written in 244 ways as a sum of consecutive naturals, for example, 5000210999991 + ... + 5000211000009.

Almost surely, 2^{95004009000000} is an apocalyptic number.

95004009000000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

95004009000000 is the 9747000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95004009000000

95004009000000 is an abundant number, since it is smaller than the sum of its proper divisors (277940044813601).

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

95004009000000 is an frugal number, since it uses more digits than its factorization.

95004009000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 95004009000000 its reverse (90040059), we get a palindrome (95004099040059).

The spelling of 95004009000000 in words is "ninety-five trillion, four billion, nine million", and thus it is an aban number.