8095002032544 has 192 divisors, whose sum is σ = 25079914782720. Its totient is φ = 2237220725760.

The previous prime is 8095002032539. The next prime is 8095002032563. The reversal of 8095002032544 is 4452302005908.

It is a super-2 number, since 2×8095002032544² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 8095002032496 and 8095002032505.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45804702 + ... + 45981090.

It is an arithmetic number, because the mean of its divisors is an integer number (130624556160).

Almost surely, 2^{8095002032544} is an apocalyptic number.

8095002032544 is a gapful number since it is divisible by the number (84) 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 8095002032544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12539957391360).

8095002032544 is an abundant number, since it is smaller than the sum of its proper divisors (16984912750176).

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

8095002032544 is a wasteful number, since it uses less digits than its factorization.

8095002032544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178643 (or 178635 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 8095002032544 in words is "eight trillion, ninety-five billion, two million, thirty-two thousand, five hundred forty-four".