89911938816 has 360 divisors, whose sum is σ = 309485424864. Its totient is φ = 25430630400.

The previous prime is 89911938811. The next prime is 89911938821. The reversal of 89911938816 is 61883911998.

It is an interprime number because it is at equal distance from previous prime (89911938811) and next prime (89911938821).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89911938811) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14657286 + ... + 14663418.

Almost surely, 2^89911938816 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 89911938816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154742712432).

89911938816 is an abundant number, since it is smaller than the sum of its proper divisors (219573486048).

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

89911938816 is a wasteful number, since it uses less digits than its factorization.

89911938816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6269 (or 6246 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 63.

It can be divided in two parts, 8991193 and 8816, that added together give a palindrome (9000009).

The spelling of 89911938816 in words is "eighty-nine billion, nine hundred eleven million, nine hundred thirty-eight thousand, eight hundred sixteen".