89690006102016 has 224 divisors, whose sum is σ = 249807805752960. Its totient is φ = 28585475702784.

The previous prime is 89690006102009. The next prime is 89690006102027. The reversal of 89690006102016 is 61020160009698.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72797616 + ... + 74019408.

It is an arithmetic number, because the mean of its divisors is an integer number (1115213418540).

Almost surely, 2^{89690006102016} 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 89690006102016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124903902876480).

89690006102016 is an abundant number, since it is smaller than the sum of its proper divisors (160117799650944).

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

89690006102016 is a wasteful number, since it uses less digits than its factorization.

89690006102016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221954 (or 1221930 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 89690006102016 in words is "eighty-nine trillion, six hundred ninety billion, six million, one hundred two thousand, sixteen".