10707475140 has 288 divisors, whose sum is σ = 34577786880. Its totient is φ = 2678427648.

The previous prime is 10707475117. The next prime is 10707475147. The reversal of 10707475140 is 4157470701.

10707475140 is a `hidden beast` number, since 1 + 0 + 70 + 74 + 7 + 514 + 0 = 666.

It is a super-2 number, since 2×10707475140² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10707475095 and 10707475104.

It is not an unprimeable number, because it can be changed into a prime (10707475147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24728364 + ... + 24728796.

It is an arithmetic number, because the mean of its divisors is an integer number (120061760).

Almost surely, 2^10707475140 is an apocalyptic number.

10707475140 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 10707475140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17288893440).

10707475140 is an abundant number, since it is smaller than the sum of its proper divisors (23870311740).

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

10707475140 is a wasteful number, since it uses less digits than its factorization.

10707475140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The spelling of 10707475140 in words is "ten billion, seven hundred seven million, four hundred seventy-five thousand, one hundred forty".