88735672116 has 216 divisors, whose sum is σ = 290063015424. Its totient is φ = 22647703680.

The previous prime is 88735672073. The next prime is 88735672141. The reversal of 88735672116 is 61127653788.

It is a happy number.

88735672116 is a `hidden beast` number, since 8 + 8 + 73 + 567 + 2 + 1 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 648481 + ... + 773303.

Almost surely, 2^88735672116 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 88735672116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145031507712).

88735672116 is an abundant number, since it is smaller than the sum of its proper divisors (201327343308).

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

88735672116 is a wasteful number, since it uses less digits than its factorization.

88735672116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124891 (or 124879 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 88735672116 in words is "eighty-eight billion, seven hundred thirty-five million, six hundred seventy-two thousand, one hundred sixteen".