10707518460672 has 648 divisors, whose sum is σ = 35065405524240. Its totient is φ = 3116143411200.

The previous prime is 10707518460647. The next prime is 10707518460701. The reversal of 10707518460672 is 27606481570701.

10707518460672 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 7 + 518 + 4 + 60 + 67 + 2 = 666.

It is a super-2 number, since 2×10707518460672² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3336713404 + ... + 3336716612.

It is an arithmetic number, because the mean of its divisors is an integer number (54113280130).

Almost surely, 2^{10707518460672} is an apocalyptic number.

10707518460672 is a gapful number since it is divisible by the number (12) 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 10707518460672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17532702762120).

10707518460672 is an abundant number, since it is smaller than the sum of its proper divisors (24357887063568).

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

10707518460672 is a wasteful number, since it uses less digits than its factorization.

10707518460672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 10707518460672 in words is "ten trillion, seven hundred seven billion, five hundred eighteen million, four hundred sixty thousand, six hundred seventy-two".