8008008088400 has 30 divisors (see below), whose sum is σ = 19239239433342. Its totient is φ = 3203203235200.

The previous prime is 8008008088303. The next prime is 8008008088417. The reversal of 8008008088400 is 48808008008.

It can be written as a sum of positive squares in 3 ways, for example, as 2342503714576 + 5665504373824 = 1530524^2 + 2380232^2 .

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 5 ways as a sum of consecutive naturals, for example, 10010009711 + ... + 10010010510.

Almost surely, 2^{8008008088400} is an apocalyptic number.

8008008088400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8008008088400 is an abundant number, since it is smaller than the sum of its proper divisors (11231231344942).

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

8008008088400 is a wasteful number, since it uses less digits than its factorization.

8008008088400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20020020239 (or 20020020228 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 44.

The spelling of 8008008088400 in words is "eight trillion, eight billion, eight million, eighty-eight thousand, four hundred".