10606757616 has 240 divisors, whose sum is σ = 36653862336. Its totient is φ = 2788245504.

The previous prime is 10606757599. The next prime is 10606757713. The reversal of 10606757616 is 61675760601.

10606757616 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 67 + 576 + 16 = 666.

It is a super-2 number, since 2×10606757616² (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 47 ways as a sum of consecutive naturals, for example, 4624566 + ... + 4626858.

Almost surely, 2^10606757616 is an apocalyptic number.

10606757616 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 10606757616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18326931168).

10606757616 is an abundant number, since it is smaller than the sum of its proper divisors (26047104720).

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

10606757616 is a wasteful number, since it uses less digits than its factorization.

10606757616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 10606757616 in words is "ten billion, six hundred six million, seven hundred fifty-seven thousand, six hundred sixteen".