95004009000 has 560 divisors, whose sum is σ = 351828764820. Its totient is φ = 24001012800.

The previous prime is 95004008999. The next prime is 95004009011. The reversal of 95004009000 is 90040059.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 64222710084 + 30781298916 = 253422^2 + 175446^2 .

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 95004009000 = 570³ + 4560³ = 2565³ + 4275³.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 5000210991 + ... + 5000211009.

Almost surely, 2^95004009000 is an apocalyptic number.

95004009000 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 95004009000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175914382410).

95004009000 is an abundant number, since it is smaller than the sum of its proper divisors (256824755820).

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

95004009000 is an frugal number, since it uses more digits than its factorization.

95004009000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 29 counting only the distinct ones).

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

Adding to 95004009000 its reverse (90040059), we get a palindrome (95094049059).

The spelling of 95004009000 in words is "ninety-five billion, four million, nine thousand".