88065583200 has 648 divisors, whose sum is σ = 376982777808. Its totient is φ = 19252316160.

The previous prime is 88065583187. The next prime is 88065583201. The reversal of 88065583200 is 238556088.

It is a happy number.

88065583200 is a `hidden beast` number, since 8 + 8 + 0 + 65 + 583 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×88065583200² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88065583201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8108974 + ... + 8119826.

It is an arithmetic number, because the mean of its divisors is an integer number (581763546).

Almost surely, 2^88065583200 is an apocalyptic number.

88065583200 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 88065583200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188491388904).

88065583200 is an abundant number, since it is smaller than the sum of its proper divisors (288917194608).

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

88065583200 is a wasteful number, since it uses less digits than its factorization.

88065583200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10916 (or 10893 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 88065583200 in words is "eighty-eight billion, sixty-five million, five hundred eighty-three thousand, two hundred".