10705907709120 has 448 divisors, whose sum is σ = 36778909749120. Its totient is φ = 2622881267712.

The previous prime is 10705907709103. The next prime is 10705907709151. The reversal of 10705907709120 is 2190770950701.

10705907709120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10705907709120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10705907709120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2592855216 + ... + 2592859344.

It is an arithmetic number, because the mean of its divisors is an integer number (82095780690).

Almost surely, 2^{10705907709120} is an apocalyptic number.

10705907709120 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 10705907709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18389454874560).

10705907709120 is an abundant number, since it is smaller than the sum of its proper divisors (26073002040000).

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

10705907709120 is a wasteful number, since it uses less digits than its factorization.

10705907709120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5092 (or 5082 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 48.

The spelling of 10705907709120 in words is "ten trillion, seven hundred five billion, nine hundred seven million, seven hundred nine thousand, one hundred twenty".