10869729002496 has 1584 divisors, whose sum is σ = 41910930157824. Its totient is φ = 2738553421824.

The previous prime is 10869729002471. The next prime is 10869729002497. The reversal of 10869729002496 is 69420092796801.

10869729002496 is a `hidden beast` number, since 10 + 8 + 6 + 97 + 290 + 0 + 249 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10869729002497) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14061744766 + ... + 14061745538.

Almost surely, 2^{10869729002496} is an apocalyptic number.

10869729002496 is a gapful number since it is divisible by the number (16) 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 10869729002496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20955465078912).

10869729002496 is an abundant number, since it is smaller than the sum of its proper divisors (31041201155328).

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

10869729002496 is an frugal number, since it uses more digits than its factorization.

10869729002496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 10869729002496 in words is "ten trillion, eight hundred sixty-nine billion, seven hundred twenty-nine million, two thousand, four hundred ninety-six".