10095684480 has 640 divisors, whose sum is σ = 42227412480. Its totient is φ = 2250436608.

The previous prime is 10095684463. The next prime is 10095684491. The reversal of 10095684480 is 8448659001.

10095684480 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 568 + 4 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15603517 + ... + 15604163.

It is an arithmetic number, because the mean of its divisors is an integer number (65980332).

Almost surely, 2^10095684480 is an apocalyptic number.

10095684480 is a gapful number since it is divisible by the number (10) 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 10095684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21113706240).

10095684480 is an abundant number, since it is smaller than the sum of its proper divisors (32131728000).

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

10095684480 is an equidigital number, since it uses as much as digits as its factorization.

10095684480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 10095684480 in words is "ten billion, ninety-five million, six hundred eighty-four thousand, four hundred eighty".