10659736492416 has 384 divisors, whose sum is σ = 34178937811200. Its totient is φ = 3161778278400.

The previous prime is 10659736492403. The next prime is 10659736492481. The reversal of 10659736492416 is 61429463795601.

It is a happy number.

10659736492416 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 9 + 73 + 64 + 92 + 416 = 666.

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

It is a super-2 number, since 2×10659736492416² (a number of 27 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, 125017350 + ... + 125102586.

It is an arithmetic number, because the mean of its divisors is an integer number (89007650550).

Almost surely, 2^{10659736492416} is an apocalyptic number.

10659736492416 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 10659736492416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17089468905600).

10659736492416 is an abundant number, since it is smaller than the sum of its proper divisors (23519201318784).

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

10659736492416 is a wasteful number, since it uses less digits than its factorization.

10659736492416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85478 (or 85463 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 10659736492416 in words is "ten trillion, six hundred fifty-nine billion, seven hundred thirty-six million, four hundred ninety-two thousand, four hundred sixteen".