10659378954240 has 1360 divisors, whose sum is σ = 42021572313600. Its totient is φ = 2573010468864.

The previous prime is 10659378954197. The next prime is 10659378954241. The reversal of 10659378954240 is 4245987395601.

10659378954240 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 9 + 3 + 7 + 89 + 542 + 4 + 0 = 666.

It is a super-2 number, since 2×10659378954240² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10659378954241) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 11598888501 + ... + 11598889419.

It is a 1-persistent number, because it is pandigital, but 2⋅10659378954240 = 21318757908480 is not.

Almost surely, 2^{10659378954240} is an apocalyptic number.

10659378954240 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 10659378954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21010786156800).

10659378954240 is an abundant number, since it is smaller than the sum of its proper divisors (31362193359360).

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

10659378954240 is an frugal number, since it uses more digits than its factorization.

10659378954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 10659378954240 in words is "ten trillion, six hundred fifty-nine billion, three hundred seventy-eight million, nine hundred fifty-four thousand, two hundred forty".