95858196480 has 480 divisors, whose sum is σ = 353327832000. Its totient is φ = 23957864448.

The previous prime is 95858196461. The next prime is 95858196481. The reversal of 95858196480 is 8469185859.

95858196480 is a `hidden beast` number, since 9 + 5 + 8 + 581 + 9 + 6 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95858196481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 401080201 + ... + 401080439.

It is an arithmetic number, because the mean of its divisors is an integer number (736099650).

Almost surely, 2^95858196480 is an apocalyptic number.

95858196480 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 95858196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176663916000).

95858196480 is an abundant number, since it is smaller than the sum of its proper divisors (257469635520).

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

95858196480 is an equidigital number, since it uses as much as digits as its factorization.

95858196480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 95858196480 in words is "ninety-five billion, eight hundred fifty-eight million, one hundred ninety-six thousand, four hundred eighty".