10616677239168 has 4608 divisors, whose sum is σ = 47405030400000. Its totient is φ = 2253223526400.

The previous prime is 10616677239151. The next prime is 10616677239169. The reversal of 10616677239168 is 86193277661601.

10616677239168 is a `hidden beast` number, since 1 + 0 + 61 + 6 + 67 + 72 + 391 + 68 = 666.

It is a super-2 number, since 2×10616677239168² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10616677239169) by changing a digit.

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 575 ways as a sum of consecutive naturals, for example, 342473459313 + ... + 342473459343.

It is an arithmetic number, because the mean of its divisors is an integer number (10287550000).

Almost surely, 2^{10616677239168} is an apocalyptic number.

10616677239168 is a gapful number since it is divisible by the number (18) 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 10616677239168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23702515200000).

10616677239168 is an abundant number, since it is smaller than the sum of its proper divisors (36788353160832).

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

10616677239168 is a wasteful number, since it uses less digits than its factorization.

10616677239168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 10616677239168 in words is "ten trillion, six hundred sixteen billion, six hundred seventy-seven million, two hundred thirty-nine thousand, one hundred sixty-eight".