88605414400 has 264 divisors, whose sum is σ = 235823979960. Its totient is φ = 32888586240.

The previous prime is 88605414389. The next prime is 88605414413. The reversal of 88605414400 is 441450688.

It can be written as a sum of positive squares in 12 ways, for example, as 7147687936 + 81457726464 = 84544^2 + 285408^2 .

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31768206 + ... + 31770994.

Almost surely, 2^88605414400 is an apocalyptic number.

88605414400 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 88605414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117911989980).

88605414400 is an abundant number, since it is smaller than the sum of its proper divisors (147218565560).

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

88605414400 is a wasteful number, since it uses less digits than its factorization.

88605414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The spelling of 88605414400 in words is "eighty-eight billion, six hundred five million, four hundred fourteen thousand, four hundred".