88244121600 has 390 divisors, whose sum is σ = 326908052240. Its totient is φ = 23529553920.

The previous prime is 88244121599. The next prime is 88244121601. The reversal of 88244121600 is 612144288.

88244121600 is a `hidden beast` number, since 8 + 8 + 2 + 4 + 41 + 2 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (88244121599) and next prime (88244121601).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88244121601) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8289081 + ... + 8299719.

Almost surely, 2^88244121600 is an apocalyptic number.

88244121600 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 88244121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163454026120).

88244121600 is an abundant number, since it is smaller than the sum of its proper divisors (238663930640).

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

88244121600 is a wasteful number, since it uses less digits than its factorization.

88244121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10685 (or 10649 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

Adding to 88244121600 its reverse (612144288), we get a palindrome (88856265888).

The spelling of 88244121600 in words is "eighty-eight billion, two hundred forty-four million, one hundred twenty-one thousand, six hundred".