10605406020000 has 480 divisors, whose sum is σ = 38326372185024. Its totient is φ = 2545536000000.

The previous prime is 10605406019993. The next prime is 10605406020037. The reversal of 10605406020000 is 2060450601.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×10605406020000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66580452 + ... + 66739548.

Almost surely, 2^{10605406020000} is an apocalyptic number.

10605406020000 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 10605406020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19163186092512).

10605406020000 is an abundant number, since it is smaller than the sum of its proper divisors (27720966165024).

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

10605406020000 is a wasteful number, since it uses less digits than its factorization.

10605406020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159242 (or 159219 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 10605406020000 its reverse (2060450601), we get a palindrome (10607466470601).

The spelling of 10605406020000 in words is "ten trillion, six hundred five billion, four hundred six million, twenty thousand".