10945116070560 has 1344 divisors, whose sum is σ = 45065331134208. Its totient is φ = 2459280310272.

The previous prime is 10945116070451. The next prime is 10945116070579. The reversal of 10945116070560 is 6507061154901.

10945116070560 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 5 + 1 + 16 + 0 + 70 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 25277404104 + ... + 25277404536.

It is an arithmetic number, because the mean of its divisors is an integer number (33530752332).

Almost surely, 2^{10945116070560} is an apocalyptic number.

10945116070560 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 10945116070560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22532665567104).

10945116070560 is an abundant number, since it is smaller than the sum of its proper divisors (34120215063648).

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

10945116070560 is an equidigital number, since it uses as much as digits as its factorization.

10945116070560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 10945116070560 in words is "ten trillion, nine hundred forty-five billion, one hundred sixteen million, seventy thousand, five hundred sixty".