95081029424640 has 2880 divisors, whose sum is σ = 424935299543040. Its totient is φ = 19910302433280.

The previous prime is 95081029424597. The next prime is 95081029424663. The reversal of 95081029424640 is 4642492018059.

95081029424640 is a `hidden beast` number, since 9 + 50 + 8 + 102 + 9 + 424 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 69250566994 + ... + 69250568366.

It is an arithmetic number, because the mean of its divisors is an integer number (147546979008).

Almost surely, 2^{95081029424640} is an apocalyptic number.

95081029424640 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 95081029424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212467649771520).

95081029424640 is an abundant number, since it is smaller than the sum of its proper divisors (329854270118400).

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

95081029424640 is an equidigital number, since it uses as much as digits as its factorization.

95081029424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 95081029424640 in words is "ninety-five trillion, eighty-one billion, twenty-nine million, four hundred twenty-four thousand, six hundred forty".