88041404160 has 216 divisors, whose sum is σ = 306216578304. Its totient is φ = 23354204160.

The previous prime is 88041404141. The next prime is 88041404173. The reversal of 88041404160 is 6140414088.

88041404160 is a `hidden beast` number, since 8 + 80 + 414 + 0 + 4 + 160 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2180314 + ... + 2220326.

It is an arithmetic number, because the mean of its divisors is an integer number (1417669344).

Almost surely, 2^88041404160 is an apocalyptic number.

88041404160 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 88041404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153108289152).

88041404160 is an abundant number, since it is smaller than the sum of its proper divisors (218175174144).

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

88041404160 is a wasteful number, since it uses less digits than its factorization.

88041404160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40231 (or 40214 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 88041404160 in words is "eighty-eight billion, forty-one million, four hundred four thousand, one hundred sixty".