10606946916480 has 256 divisors, whose sum is σ = 34372892851200. Its totient is φ = 2781421977600.

The previous prime is 10606946916457. The next prime is 10606946916497. The reversal of 10606946916480 is 8461964960601.

It is a happy number.

It is a super-2 number, since 2×10606946916480² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 560878225 + ... + 560897135.

It is an arithmetic number, because the mean of its divisors is an integer number (134269112700).

Almost surely, 2^{10606946916480} is an apocalyptic number.

10606946916480 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 10606946916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17186446425600).

10606946916480 is an abundant number, since it is smaller than the sum of its proper divisors (23765945934720).

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

10606946916480 is a wasteful number, since it uses less digits than its factorization.

10606946916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23783 (or 23771 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 10606946916480 in words is "ten trillion, six hundred six billion, nine hundred forty-six million, nine hundred sixteen thousand, four hundred eighty".