10688236416 has 576 divisors, whose sum is σ = 37942959600. Its totient is φ = 2956124160.

The previous prime is 10688236399. The next prime is 10688236441. The reversal of 10688236416 is 61463288601.

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

It is a super-2 number, since 2×10688236416² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 120092500 + ... + 120092588.

Almost surely, 2^10688236416 is an apocalyptic number.

10688236416 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 10688236416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18971479800).

10688236416 is an abundant number, since it is smaller than the sum of its proper divisors (27254723184).

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

10688236416 is an frugal number, since it uses more digits than its factorization.

10688236416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 10688236416 in words is "ten billion, six hundred eighty-eight million, two hundred thirty-six thousand, four hundred sixteen".