95383938402720 has 768 divisors, whose sum is σ = 386469116006400. Its totient is φ = 21743118397440.

The previous prime is 95383938402691. The next prime is 95383938402763. The reversal of 95383938402720 is 2720483938359.

95383938402720 is a `hidden beast` number, since 9 + 53 + 83 + 9 + 38 + 402 + 72 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63745054 + ... + 65224226.

It is an arithmetic number, because the mean of its divisors is an integer number (503214994800).

Almost surely, 2^{95383938402720} is an apocalyptic number.

95383938402720 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 95383938402720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193234558003200).

95383938402720 is an abundant number, since it is smaller than the sum of its proper divisors (291085177603680).

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

95383938402720 is a wasteful number, since it uses less digits than its factorization.

95383938402720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479290 (or 1479276 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 95383938402720 in words is "ninety-five trillion, three hundred eighty-three billion, nine hundred thirty-eight million, four hundred two thousand, seven hundred twenty".