10769149872 has 240 divisors, whose sum is σ = 33466899648. Its totient is φ = 3211591680.

The previous prime is 10769149841. The next prime is 10769149879. The reversal of 10769149872 is 27894196701.

10769149872 is a `hidden beast` number, since 10 + 76 + 9 + 1 + 498 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (10769149879) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14812773 + ... + 14813499.

Almost surely, 2^10769149872 is an apocalyptic number.

10769149872 is a gapful number since it is divisible by the number (12) 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 10769149872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16733449824).

10769149872 is an abundant number, since it is smaller than the sum of its proper divisors (22697749776).

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

10769149872 is a wasteful number, since it uses less digits than its factorization.

10769149872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 10769149872 in words is "ten billion, seven hundred sixty-nine million, one hundred forty-nine thousand, eight hundred seventy-two".