10769671077120 has 1152 divisors, whose sum is σ = 42077415098880. Its totient is φ = 2597301780480.

The previous prime is 10769671077049. The next prime is 10769671077167. The reversal of 10769671077120 is 2177017696701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 1613914104 + ... + 1613920776.

It is an arithmetic number, because the mean of its divisors is an integer number (36525533940).

Almost surely, 2^{10769671077120} is an apocalyptic number.

10769671077120 is a gapful number since it is divisible by the number (10) 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 10769671077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21038707549440).

10769671077120 is an abundant number, since it is smaller than the sum of its proper divisors (31307744021760).

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

10769671077120 is a wasteful number, since it uses less digits than its factorization.

10769671077120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6828 (or 6808 counting only the distinct ones).

The product of its (nonzero) digits is 1555848, while the sum is 54.

The spelling of 10769671077120 in words is "ten trillion, seven hundred sixty-nine billion, six hundred seventy-one million, seventy-seven thousand, one hundred twenty".