10399767681600 has 1680 divisors, whose sum is σ = 42821795301120. Its totient is φ = 2454080716800.

The previous prime is 10399767681577. The next prime is 10399767681661. The reversal of 10399767681600 is 618676799301.

10399767681600 is a `hidden beast` number, since 10 + 3 + 9 + 9 + 7 + 6 + 7 + 6 + 8 + 1 + 600 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 18023860512 + ... + 18023861088.

Almost surely, 2^{10399767681600} is an apocalyptic number.

10399767681600 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 10399767681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21410897650560).

10399767681600 is an abundant number, since it is smaller than the sum of its proper divisors (32422027619520).

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

10399767681600 is a wasteful number, since it uses less digits than its factorization.

10399767681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

It can be divided in two parts, 1039976 and 7681600, that added together give a triangular number (8721576 = T₄₁₇₆).

The spelling of 10399767681600 in words is "ten trillion, three hundred ninety-nine billion, seven hundred sixty-seven million, six hundred eighty-one thousand, six hundred".