88406720000 has 200 divisors, whose sum is σ = 221587594272. Its totient is φ = 35225600000.

The previous prime is 88406719993. The next prime is 88406720029. The reversal of 88406720000 is 2760488.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×88406720000³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 137919680 + ... + 137920320.

Almost surely, 2^88406720000 is an apocalyptic number.

88406720000 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 88406720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110793797136).

88406720000 is an abundant number, since it is smaller than the sum of its proper divisors (133180874272).

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

88406720000 is an frugal number, since it uses more digits than its factorization.

88406720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The spelling of 88406720000 in words is "eighty-eight billion, four hundred six million, seven hundred twenty thousand".