88099228800 has 1080 divisors, whose sum is σ = 364217017395. Its totient is φ = 20954419200.

The previous prime is 88099228799. The next prime is 88099228829. The reversal of 88099228800 is 882299088.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 51667108416 + 36432120384 = 227304^2 + 190872^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=209880.

It is a super-2 number, since 2×88099228800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1662249574 + ... + 1662249626.

Almost surely, 2^88099228800 is an apocalyptic number.

88099228800 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 88099228800

88099228800 is an abundant number, since it is smaller than the sum of its proper divisors (276117788595).

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

88099228800 is a wasteful number, since it uses less digits than its factorization.

88099228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 88099228800 in words is "eighty-eight billion, ninety-nine million, two hundred twenty-eight thousand, eight hundred".