10515752698968 has 64 divisors (see below), whose sum is σ = 31865917276800. Its totient is φ = 3186591726240.

The previous prime is 10515752698967. The next prime is 10515752698991. The reversal of 10515752698968 is 86989625751501.

10515752698968 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 5 + 7 + 526 + 9 + 8 + 96 + 8 = 666.

It is a super-2 number, since 2×10515752698968² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 10515752698896 and 10515752698905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10515752698961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2212908546 + ... + 2212913297.

It is an arithmetic number, because the mean of its divisors is an integer number (497904957450).

Almost surely, 2^{10515752698968} is an apocalyptic number.

10515752698968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10515752698968 is an abundant number, since it is smaller than the sum of its proper divisors (21350164577832).

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

10515752698968 is a wasteful number, since it uses less digits than its factorization.

10515752698968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4425821869 (or 4425821859 counting only the distinct ones).

The product of its (nonzero) digits is 326592000, while the sum is 72.

The spelling of 10515752698968 in words is "ten trillion, five hundred fifteen billion, seven hundred fifty-two million, six hundred ninety-eight thousand, nine hundred sixty-eight".