10616394880 has 192 divisors, whose sum is σ = 31795719480. Its totient is φ = 3359784960.

The previous prime is 10616394839. The next prime is 10616394883. The reversal of 10616394880 is 8849361601.

It can be written as a sum of positive squares in 4 ways, for example, as 9031081024 + 1585313856 = 95032^2 + 39816^2 .

It is a super-2 number, since 2×10616394880² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10616394880.

It is not an unprimeable number, because it can be changed into a prime (10616394883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394660 + ... + 420700.

Almost surely, 2^10616394880 is an apocalyptic number.

10616394880 is a gapful number since it is divisible by the number (10) 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 10616394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15897859740).

10616394880 is an abundant number, since it is smaller than the sum of its proper divisors (21179324600).

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

10616394880 is a wasteful number, since it uses less digits than its factorization.

10616394880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26087 (or 26068 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 10616394880 in words is "ten billion, six hundred sixteen million, three hundred ninety-four thousand, eight hundred eighty".