10707067005657 has 64 divisors (see below), whose sum is σ = 17917858160640. Its totient is φ = 5599330329600.

The previous prime is 10707067005641. The next prime is 10707067005703. The reversal of 10707067005657 is 75650076070701.

It is a happy number.

It is not a de Polignac number, because 10707067005657 - 2⁴ = 10707067005641 is a prime.

It is a super-2 number, since 2×10707067005657² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (10707067005457) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15871338 + ... + 16532195.

It is an arithmetic number, because the mean of its divisors is an integer number (279966533760).

Almost surely, 2^{10707067005657} is an apocalyptic number.

10707067005657 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10707067005657 is a deficient number, since it is larger than the sum of its proper divisors (7210791154983).

10707067005657 is a wasteful number, since it uses less digits than its factorization.

10707067005657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32403614.

The product of its (nonzero) digits is 2160900, while the sum is 51.

The spelling of 10707067005657 in words is "ten trillion, seven hundred seven billion, sixty-seven million, five thousand, six hundred fifty-seven".