10849959559296 has 640 divisors, whose sum is σ = 38050613092800. Its totient is φ = 3025647820800.

The previous prime is 10849959559279. The next prime is 10849959559297. The reversal of 10849959559296 is 69295595994801.

10849959559296 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 9 + 9 + 59 + 559 + 2 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (10849959559297) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 490737490 + ... + 490759598.

Almost surely, 2^{10849959559296} is an apocalyptic number.

10849959559296 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 10849959559296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19025306546400).

10849959559296 is an abundant number, since it is smaller than the sum of its proper divisors (27200653533504).

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

10849959559296 is a wasteful number, since it uses less digits than its factorization.

10849959559296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22490 (or 22469 counting only the distinct ones).

The product of its (nonzero) digits is 2834352000, while the sum is 81.

The spelling of 10849959559296 in words is "ten trillion, eight hundred forty-nine billion, nine hundred fifty-nine million, five hundred fifty-nine thousand, two hundred ninety-six".