10616563897504 has 96 divisors (see below), whose sum is σ = 22028651084160. Its totient is φ = 5030905531392.

The previous prime is 10616563897483. The next prime is 10616563897559. The reversal of 10616563897504 is 40579836561601.

It is a happy number.

It is a super-2 number, since 2×10616563897504² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8113957 + ... + 9331099.

It is an arithmetic number, because the mean of its divisors is an integer number (229465115460).

Almost surely, 2^{10616563897504} 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 10616563897504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11014325542080).

10616563897504 is an abundant number, since it is smaller than the sum of its proper divisors (11412087186656).

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

10616563897504 is a wasteful number, since it uses less digits than its factorization.

10616563897504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217382 (or 1217374 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 61.

The spelling of 10616563897504 in words is "ten trillion, six hundred sixteen billion, five hundred sixty-three million, eight hundred ninety-seven thousand, five hundred four".