10266846819840 has 640 divisors, whose sum is σ = 39297473550720. Its totient is φ = 2525712482304.

The previous prime is 10266846819829. The next prime is 10266846819847. The reversal of 10266846819840 is 4891864866201.

10266846819840 is a `hidden beast` number, since 1 + 0 + 26 + 68 + 468 + 1 + 98 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-4 number, since 4×10266846819840⁴ (a number of 53 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10266846819847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2621097562 + ... + 2621101478.

It is an arithmetic number, because the mean of its divisors is an integer number (61402302423).

Almost surely, 2^{10266846819840} is an apocalyptic number.

10266846819840 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 10266846819840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19648736775360).

10266846819840 is an abundant number, since it is smaller than the sum of its proper divisors (29030626730880).

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

10266846819840 is a wasteful number, since it uses less digits than its factorization.

10266846819840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6879 (or 6857 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 10266846819840 in words is "ten trillion, two hundred sixty-six billion, eight hundred forty-six million, eight hundred nineteen thousand, eight hundred forty".