10499064016896 has 1664 divisors, whose sum is σ = 40145661050880. Its totient is φ = 2637221068800.

The previous prime is 10499064016783. The next prime is 10499064016919. The reversal of 10499064016896 is 69861046099401.

10499064016896 is a `hidden beast` number, since 1 + 0 + 499 + 0 + 6 + 40 + 16 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-2 number, since 2×10499064016896² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22774542106 + ... + 22774542566.

Almost surely, 2^{10499064016896} is an apocalyptic number.

10499064016896 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 10499064016896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20072830525440).

10499064016896 is an abundant number, since it is smaller than the sum of its proper divisors (29646597033984).

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

10499064016896 is a wasteful number, since it uses less digits than its factorization.

10499064016896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 10499064016896 in words is "ten trillion, four hundred ninety-nine billion, sixty-four million, sixteen thousand, eight hundred ninety-six".