88420438800 has 180 divisors, whose sum is σ = 308040650580. Its totient is φ = 23486791680.

The previous prime is 88420438783. The next prime is 88420438807. The reversal of 88420438800 is 883402488.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2667515904 + 85752922896 = 51648^2 + 292836^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (88420438807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 877416 + ... + 972984.

Almost surely, 2^88420438800 is an apocalyptic number.

88420438800 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 88420438800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154020325290).

88420438800 is an abundant number, since it is smaller than the sum of its proper divisors (219620211780).

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

88420438800 is a wasteful number, since it uses less digits than its factorization.

88420438800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95850 (or 95836 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 88420438800 in words is "eighty-eight billion, four hundred twenty million, four hundred thirty-eight thousand, eight hundred".