10714275042120 has 448 divisors, whose sum is σ = 38940530212080. Its totient is φ = 2636271525888.

The previous prime is 10714275042077. The next prime is 10714275042167. The reversal of 10714275042120 is 2124057241701.

10714275042120 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 4 + 27 + 504 + 2 + 120 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 752386229604 + 9961888812516 = 867402^2 + 3156246^2 .

It is a super-2 number, since 2×10714275042120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1301377524 + ... + 1301385756.

Almost surely, 2^{10714275042120} is an apocalyptic number.

10714275042120 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 10714275042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19470265106040).

10714275042120 is an abundant number, since it is smaller than the sum of its proper divisors (28226255169960).

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

10714275042120 is a wasteful number, since it uses less digits than its factorization.

10714275042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11708 (or 11689 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 10714275042120 in words is "ten trillion, seven hundred fourteen billion, two hundred seventy-five million, forty-two thousand, one hundred twenty".