88198044480 has 672 divisors, whose sum is σ = 385094073600. Its totient is φ = 18606661632.

The previous prime is 88198044461. The next prime is 88198044481. The reversal of 88198044480 is 8444089188.

It is a happy number.

88198044480 is a `hidden beast` number, since 8 + 8 + 198 + 0 + 4 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88198044481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10216806 + ... + 10225434.

Almost surely, 2^88198044480 is an apocalyptic number.

88198044480 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 88198044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192547036800).

88198044480 is an abundant number, since it is smaller than the sum of its proper divisors (296896029120).

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

88198044480 is a wasteful number, since it uses less digits than its factorization.

88198044480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8688 (or 8659 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 88198044480 in words is "eighty-eight billion, one hundred ninety-eight million, forty-four thousand, four hundred eighty".