10709951616 has 576 divisors, whose sum is σ = 40173981120. Its totient is φ = 2666483712.

The previous prime is 10709951599. The next prime is 10709951657. The reversal of 10709951616 is 61615990701.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×10709951616² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37844211 + ... + 37844493.

It is an arithmetic number, because the mean of its divisors is an integer number (69746495).

Almost surely, 2^10709951616 is an apocalyptic number.

10709951616 is a gapful number since it is divisible by the number (16) 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 10709951616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20086990560).

10709951616 is an abundant number, since it is smaller than the sum of its proper divisors (29464029504).

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

10709951616 is a wasteful number, since it uses less digits than its factorization.

10709951616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 10709951616 in words is "ten billion, seven hundred nine million, nine hundred fifty-one thousand, six hundred sixteen".