88850935680 has 1024 divisors, whose sum is σ = 337565491200. Its totient is φ = 19697762304.

The previous prime is 88850935669. The next prime is 88850935729. The reversal of 88850935680 is 8653905888.

It is a super-2 number, since 2×88850935680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 998325076 + ... + 998325164.

It is an arithmetic number, because the mean of its divisors is an integer number (329653800).

Almost surely, 2^88850935680 is an apocalyptic number.

88850935680 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 88850935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168782745600).

88850935680 is an abundant number, since it is smaller than the sum of its proper divisors (248714555520).

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

88850935680 is a wasteful number, since it uses less digits than its factorization.

88850935680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 60.

The spelling of 88850935680 in words is "eighty-eight billion, eight hundred fifty million, nine hundred thirty-five thousand, six hundred eighty".