10095648084 has 192 divisors, whose sum is σ = 28914278400. Its totient is φ = 3031934976.

The previous prime is 10095648071. The next prime is 10095648107. The reversal of 10095648084 is 48084659001.

10095648084 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 564 + 8 + 0 + 84 = 666.

It is a super-2 number, since 2×10095648084² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6761242 + ... + 6762734.

It is an arithmetic number, because the mean of its divisors is an integer number (150595200).

Almost surely, 2^10095648084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10095648084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14457139200).

10095648084 is an abundant number, since it is smaller than the sum of its proper divisors (18818630316).

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

10095648084 is a wasteful number, since it uses less digits than its factorization.

10095648084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1671 counting only the distinct ones).

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

The spelling of 10095648084 in words is "ten billion, ninety-five million, six hundred forty-eight thousand, eighty-four".