10406165784336 has 320 divisors, whose sum is σ = 34303399680000. Its totient is φ = 2958678793728.

The previous prime is 10406165784319. The next prime is 10406165784341. The reversal of 10406165784336 is 63348756160401.

10406165784336 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 61 + 6 + 578 + 4 + 3 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2589240535 + ... + 2589244553.

It is an arithmetic number, because the mean of its divisors is an integer number (107198124000).

Almost surely, 2^{10406165784336} is an apocalyptic number.

10406165784336 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 10406165784336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17151699840000).

10406165784336 is an abundant number, since it is smaller than the sum of its proper divisors (23897233895664).

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

10406165784336 is a wasteful number, since it uses less digits than its factorization.

10406165784336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8011 (or 7999 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 10406165784336 in words is "ten trillion, four hundred six billion, one hundred sixty-five million, seven hundred eighty-four thousand, three hundred thirty-six".