10517607479760 has 80 divisors (see below), whose sum is σ = 32605836426240. Its totient is φ = 2804587522560.

The previous prime is 10517607479719. The next prime is 10517607479773. The reversal of 10517607479760 is 6797470671501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10517607479760² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 10517607479694 and 10517607479703.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5514426 + ... + 7172454.

It is an arithmetic number, because the mean of its divisors is an integer number (407572955328).

Almost surely, 2^{10517607479760} is an apocalyptic number.

10517607479760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10517607479760 is an abundant number, since it is smaller than the sum of its proper divisors (22088228946480).

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

10517607479760 is a wasteful number, since it uses less digits than its factorization.

10517607479760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684476 (or 1684470 counting only the distinct ones).

The product of its (nonzero) digits is 15558480, while the sum is 60.

The spelling of 10517607479760 in words is "ten trillion, five hundred seventeen billion, six hundred seven million, four hundred seventy-nine thousand, seven hundred sixty".