88840408000800 has 144 divisors (see below), whose sum is σ = 289191170080512. Its totient is φ = 23689493990400.

The previous prime is 88840408000793. The next prime is 88840408000801. The reversal of 88840408000800 is 800080404888.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 88840408000800.

It is not an unprimeable number, because it can be changed into a prime (88840408000801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43794577 + ... + 45778223.

It is an arithmetic number, because the mean of its divisors is an integer number (2008272014448).

Almost surely, 2^{88840408000800} is an apocalyptic number.

88840408000800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88840408000800 is an abundant number, since it is smaller than the sum of its proper divisors (200350762079712).

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

88840408000800 is a wasteful number, since it uses less digits than its factorization.

88840408000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002331 (or 2002318 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 48.

The spelling of 88840408000800 in words is "eighty-eight trillion, eight hundred forty billion, four hundred eight million, eight hundred", and thus it is an aban number.