10697533152768 has 960 divisors, whose sum is σ = 42019290593280. Its totient is φ = 2632294195200.

The previous prime is 10697533152751. The next prime is 10697533152769. The reversal of 10697533152768 is 86725133579601.

10697533152768 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 7 + 533 + 15 + 27 + 68 = 666.

10697533152768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10697533152768² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10697533152769) 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, 181991223 + ... + 182049993.

It is an arithmetic number, because the mean of its divisors is an integer number (43770094368).

Almost surely, 2^{10697533152768} is an apocalyptic number.

10697533152768 is a gapful number since it is divisible by the number (18) 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 10697533152768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21009645296640).

10697533152768 is an abundant number, since it is smaller than the sum of its proper divisors (31321757440512).

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

10697533152768 is an equidigital number, since it uses as much as digits as its factorization.

10697533152768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58841 (or 58813 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 10697533152768 in words is "ten trillion, six hundred ninety-seven billion, five hundred thirty-three million, one hundred fifty-two thousand, seven hundred sixty-eight".