10843378560 has 576 divisors, whose sum is σ = 44097562080. Its totient is φ = 2447843328.

The previous prime is 10843378547. The next prime is 10843378561. The reversal of 10843378560 is 6587334801.

10843378560 is a `hidden beast` number, since 1 + 0 + 84 + 3 + 3 + 7 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10843378561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29070534 + ... + 29070906.

Almost surely, 2^10843378560 is an apocalyptic number.

10843378560 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 10843378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22048781040).

10843378560 is an abundant number, since it is smaller than the sum of its proper divisors (33254183520).

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

10843378560 is a wasteful number, since it uses less digits than its factorization.

10843378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

It can be divided in two parts, 10843 and 378560, that added together give a triangular number (389403 = T₈₈₂).

The spelling of 10843378560 in words is "ten billion, eight hundred forty-three million, three hundred seventy-eight thousand, five hundred sixty".