88040181600 has 648 divisors, whose sum is σ = 362916256248. Its totient is φ = 20024524800.

The previous prime is 88040181571. The next prime is 88040181613. The reversal of 88040181600 is 618104088.

88040181600 is a `hidden beast` number, since 8 + 8 + 0 + 40 + 1 + 8 + 1 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 90669115 + ... + 90670085.

It is an arithmetic number, because the mean of its divisors is an integer number (560055951).

Almost surely, 2^88040181600 is an apocalyptic number.

88040181600 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 88040181600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181458128124).

88040181600 is an abundant number, since it is smaller than the sum of its proper divisors (274876074648).

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

88040181600 is a wasteful number, since it uses less digits than its factorization.

88040181600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

Adding to 88040181600 its reverse (618104088), we get a palindrome (88658285688).

The spelling of 88040181600 in words is "eighty-eight billion, forty million, one hundred eighty-one thousand, six hundred".