95013066533040 has 240 divisors, whose sum is σ = 324966466812000. Its totient is φ = 24871511531520.

The previous prime is 95013066533017. The next prime is 95013066533051. The reversal of 95013066533040 is 4033566031059.

95013066533040 is a `hidden beast` number, since 9 + 5 + 0 + 1 + 306 + 6 + 5 + 330 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19748424 + ... + 24083736.

It is an arithmetic number, because the mean of its divisors is an integer number (1354026945050).

Almost surely, 2^{95013066533040} is an apocalyptic number.

95013066533040 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 95013066533040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162483233406000).

95013066533040 is an abundant number, since it is smaller than the sum of its proper divisors (229953400278960).

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

95013066533040 is a wasteful number, since it uses less digits than its factorization.

95013066533040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4335892 (or 4335883 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 95013066533040 in words is "ninety-five trillion, thirteen billion, sixty-six million, five hundred thirty-three thousand, forty".