89616279816 has 192 divisors, whose sum is σ = 298781982720. Its totient is φ = 23701265280.

The previous prime is 89616279811. The next prime is 89616279821. The reversal of 89616279816 is 61897261698.

89616279816 is a `hidden beast` number, since 8 + 9 + 616 + 2 + 7 + 9 + 8 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (89616279811) and next prime (89616279821).

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 not an unprimeable number, because it can be changed into a prime (89616279811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234661 + ... + 484043.

It is an arithmetic number, because the mean of its divisors is an integer number (1556156160).

Almost surely, 2^89616279816 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 89616279816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149390991360).

89616279816 is an abundant number, since it is smaller than the sum of its proper divisors (209165702904).

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

89616279816 is a wasteful number, since it uses less digits than its factorization.

89616279816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249456 (or 249449 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The spelling of 89616279816 in words is "eighty-nine billion, six hundred sixteen million, two hundred seventy-nine thousand, eight hundred sixteen".