10767080972160 has 384 divisors, whose sum is σ = 37604757677760. Its totient is φ = 2838520627200.

The previous prime is 10767080972129. The next prime is 10767080972183. The reversal of 10767080972160 is 6127908076701.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10767080972160² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10767080972097 and 10767080972106.

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 47 ways as a sum of consecutive naturals, for example, 356546182 + ... + 356576378.

Almost surely, 2^{10767080972160} is an apocalyptic number.

10767080972160 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 10767080972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18802378838880).

10767080972160 is an abundant number, since it is smaller than the sum of its proper divisors (26837676705600).

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

10767080972160 is a wasteful number, since it uses less digits than its factorization.

10767080972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30926 (or 30911 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 10767080972160 in words is "ten trillion, seven hundred sixty-seven billion, eighty million, nine hundred seventy-two thousand, one hundred sixty".