88027354800 has 720 divisors, whose sum is σ = 393623139840. Its totient is φ = 18289497600.

The previous prime is 88027354777. The next prime is 88027354801. The reversal of 88027354800 is 845372088.

88027354800 is a `hidden beast` number, since 8 + 80 + 27 + 3 + 548 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×88027354800³ (a number of 34 digits) contains 333 as substring.

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 (88027354801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9142789 + ... + 9152411.

Almost surely, 2^88027354800 is an apocalyptic number.

88027354800 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 88027354800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196811569920).

88027354800 is an abundant number, since it is smaller than the sum of its proper divisors (305595785040).

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

88027354800 is a wasteful number, since it uses less digits than its factorization.

88027354800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9679 (or 9651 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 88027354800 in words is "eighty-eight billion, twenty-seven million, three hundred fifty-four thousand, eight hundred".