10616081280 has 384 divisors, whose sum is σ = 41442192000. Its totient is φ = 2298433536.

The previous prime is 10616081221. The next prime is 10616081293. The reversal of 10616081280 is 8218061601.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10616081280² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1784551 + ... + 1790489.

It is an arithmetic number, because the mean of its divisors is an integer number (107922375).

Almost surely, 2^10616081280 is an apocalyptic number.

10616081280 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 10616081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20721096000).

10616081280 is an abundant number, since it is smaller than the sum of its proper divisors (30826110720).

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

10616081280 is a wasteful number, since it uses less digits than its factorization.

10616081280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5994 (or 5975 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 10616081280 in words is "ten billion, six hundred sixteen million, eighty-one thousand, two hundred eighty".