88166213424 has 160 divisors (see below), whose sum is σ = 262180689600. Its totient is φ = 28333670400.

The previous prime is 88166213423. The next prime is 88166213461. The reversal of 88166213424 is 42431266188.

88166213424 is a `hidden beast` number, since 8 + 8 + 1 + 6 + 6 + 213 + 424 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 88166213424.

It is not an unprimeable number, because it can be changed into a prime (88166213423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9178224 + ... + 9187824.

It is an arithmetic number, because the mean of its divisors is an integer number (1638629310).

Almost surely, 2^88166213424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88166213424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131090344800).

88166213424 is an abundant number, since it is smaller than the sum of its proper divisors (174014476176).

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

88166213424 is a wasteful number, since it uses less digits than its factorization.

88166213424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10380 (or 10368 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 88166213424 in words is "eighty-eight billion, one hundred sixty-six million, two hundred thirteen thousand, four hundred twenty-four".