88104434985216 has 1296 divisors, whose sum is σ = 290050843118400. Its totient is φ = 25683001344000.

The previous prime is 88104434985197. The next prime is 88104434985227. The reversal of 88104434985216 is 61258943440188.

It is a happy number.

88104434985216 is a `hidden beast` number, since 8 + 8 + 10 + 4 + 4 + 3 + 4 + 98 + 521 + 6 = 666.

It is a super-2 number, since 2×88104434985216² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83829147891 + ... + 83829148941.

It is an arithmetic number, because the mean of its divisors is an integer number (223804662900).

Almost surely, 2^{88104434985216} 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 88104434985216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145025421559200).

88104434985216 is an abundant number, since it is smaller than the sum of its proper divisors (201946408133184).

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

88104434985216 is a wasteful number, since it uses less digits than its factorization.

88104434985216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 88104434985216 in words is "eighty-eight trillion, one hundred four billion, four hundred thirty-four million, nine hundred eighty-five thousand, two hundred sixteen".