10699416806400 has 3168 divisors, whose sum is σ = 48752033241600. Its totient is φ = 2186218045440.

The previous prime is 10699416806389. The next prime is 10699416806411. The reversal of 10699416806400 is 460861499601.

It is a happy number.

10699416806400 is a `hidden beast` number, since 1 + 0 + 6 + 99 + 416 + 80 + 64 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10699416806389) and next prime (10699416806411).

It is a super-2 number, since 2×10699416806400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 53765913501 + ... + 53765913699.

Almost surely, 2^{10699416806400} is an apocalyptic number.

10699416806400 is a gapful number since it is divisible by the number (10) 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 10699416806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24376016620800).

10699416806400 is an abundant number, since it is smaller than the sum of its proper divisors (38052616435200).

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

10699416806400 is a wasteful number, since it uses less digits than its factorization.

10699416806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 10699416806400 in words is "ten trillion, six hundred ninety-nine billion, four hundred sixteen million, eight hundred six thousand, four hundred".