8008381701600 has 576 divisors, whose sum is σ = 31039805325312. Its totient is φ = 1754871552000.

The previous prime is 8008381701587. The next prime is 8008381701643. The reversal of 8008381701600 is 61071838008.

It is a super-2 number, since 2×8008381701600² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55653745 + ... + 55797455.

It is an arithmetic number, because the mean of its divisors is an integer number (53888550912).

Almost surely, 2^{8008381701600} is an apocalyptic number.

8008381701600 is a gapful number since it is divisible by the number (80) 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 8008381701600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15519902662656).

8008381701600 is an abundant number, since it is smaller than the sum of its proper divisors (23031423623712).

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

8008381701600 is a wasteful number, since it uses less digits than its factorization.

8008381701600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143879 (or 143866 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 8008381701600 in words is "eight trillion, eight billion, three hundred eighty-one million, seven hundred one thousand, six hundred".