88040840800 has 144 divisors (see below), whose sum is σ = 237969893952. Its totient is φ = 31536806400.

The previous prime is 88040840761. The next prime is 88040840831. The reversal of 88040840800 is 804804088.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 23 ways as a sum of consecutive naturals, for example, 514939 + ... + 664261.

It is an arithmetic number, because the mean of its divisors is an integer number (1652568708).

Almost surely, 2^88040840800 is an apocalyptic number.

88040840800 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 88040840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118984946976).

88040840800 is an abundant number, since it is smaller than the sum of its proper divisors (149929053152).

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

88040840800 is a wasteful number, since it uses less digits than its factorization.

88040840800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149421 (or 149408 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The spelling of 88040840800 in words is "eighty-eight billion, forty million, eight hundred forty thousand, eight hundred".