9016102690560 has 1440 divisors, whose sum is σ = 37694551910400. Its totient is φ = 2015127797760.

The previous prime is 9016102690531. The next prime is 9016102690597. The reversal of 9016102690560 is 650962016109.

It is a happy number.

9016102690560 is a `hidden beast` number, since 9 + 0 + 1 + 61 + 0 + 26 + 9 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×9016102690560² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10233941320 + ... + 10233942200.

It is an arithmetic number, because the mean of its divisors is an integer number (26176772160).

Almost surely, 2^{9016102690560} is an apocalyptic number.

9016102690560 is a gapful number since it is divisible by the number (90) 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 9016102690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18847275955200).

9016102690560 is an abundant number, since it is smaller than the sum of its proper divisors (28678449219840).

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

9016102690560 is a wasteful number, since it uses less digits than its factorization.

9016102690560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 9016102690560 in words is "nine trillion, sixteen billion, one hundred two million, six hundred ninety thousand, five hundred sixty".