10754213650560 has 960 divisors, whose sum is σ = 40442764463640. Its totient is φ = 2722248622080.

The previous prime is 10754213650559. The next prime is 10754213650561. The reversal of 10754213650560 is 6505631245701.

10754213650560 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 4 + 2 + 1 + 36 + 50 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (10754213650559) and next prime (10754213650561).

It can be written as a sum of positive squares in 4 ways, for example, as 7573812227136 + 3180401423424 = 2752056^2 + 1783368^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×10754213650560² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10754213650561) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2640364684 + ... + 2640368756.

Almost surely, 2^{10754213650560} is an apocalyptic number.

10754213650560 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 10754213650560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20221382231820).

10754213650560 is an abundant number, since it is smaller than the sum of its proper divisors (29688550813080).

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

10754213650560 is an equidigital number, since it uses as much as digits as its factorization.

10754213650560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4219 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 10754213650560 in words is "ten trillion, seven hundred fifty-four billion, two hundred thirteen million, six hundred fifty thousand, five hundred sixty".