88218914560 has 288 divisors, whose sum is σ = 248007513600. Its totient is φ = 29441802240.

The previous prime is 88218914557. The next prime is 88218914579. The reversal of 88218914560 is 6541981288.

It is a happy number.

It is a super-2 number, since 2×88218914560² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 88218914498 and 88218914507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57620995 + ... + 57622525.

It is an arithmetic number, because the mean of its divisors is an integer number (861137200).

Almost surely, 2^88218914560 is an apocalyptic number.

88218914560 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 88218914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124003756800).

88218914560 is an abundant number, since it is smaller than the sum of its proper divisors (159788599040).

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

88218914560 is a wasteful number, since it uses less digits than its factorization.

88218914560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 52.

The spelling of 88218914560 in words is "eighty-eight billion, two hundred eighteen million, nine hundred fourteen thousand, five hundred sixty".