88166213460 has 144 divisors (see below), whose sum is σ = 288221575824. Its totient is φ = 21686482944.

The previous prime is 88166213423. The next prime is 88166213461. The reversal of 88166213460 is 6431266188.

88166213460 is a `hidden beast` number, since 8 + 8 + 16 + 621 + 3 + 4 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5960148804 + 82206064656 = 77202^2 + 286716^2 .

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 (88166213461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3340074 + ... + 3366366.

It is an arithmetic number, because the mean of its divisors is an integer number (2001538721).

Almost surely, 2^88166213460 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 88166213460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144110787912).

88166213460 is an abundant number, since it is smaller than the sum of its proper divisors (200055362364).

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

88166213460 is a wasteful number, since it uses less digits than its factorization.

88166213460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27754 (or 27749 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 88166213460 in words is "eighty-eight billion, one hundred sixty-six million, two hundred thirteen thousand, four hundred sixty".