8003557851136 has 153 divisors (see below), whose sum is σ = 16451920640721. Its totient is φ = 3893505294336.

The previous prime is 8003557851109. The next prime is 8003557851173. The reversal of 8003557851136 is 6311587553008.

The square root of 8003557851136 is 2829056.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7879473561600 + 124084289536 = 2807040^2 + 352256^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31142248320 + ... + 31142248576.

Almost surely, 2^{8003557851136} is an apocalyptic number.

8003557851136 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

8003557851136 is the 2829056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8003557851136

8003557851136 is an abundant number, since it is smaller than the sum of its proper divisors (8448362789585).

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

8003557851136 is an frugal number, since it uses more digits than its factorization.

8003557851136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 52.

The spelling of 8003557851136 in words is "eight trillion, three billion, five hundred fifty-seven million, eight hundred fifty-one thousand, one hundred thirty-six".