10691945671680 has 5280 divisors, whose sum is σ = 52912601026560. Its totient is φ = 2012314337280.

The previous prime is 10691945671637. The next prime is 10691945671697. The reversal of 10691945671680 is 8617654919601.

10691945671680 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 1 + 9 + 4 + 567 + 1 + 68 + 0 = 666.

It is a super-2 number, since 2×10691945671680² (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 an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 288971504622 + ... + 288971504658.

It is an arithmetic number, because the mean of its divisors is an integer number (10021325952).

Almost surely, 2^{10691945671680} is an apocalyptic number.

10691945671680 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 10691945671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26456300513280).

10691945671680 is an abundant number, since it is smaller than the sum of its proper divisors (42220655354880).

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

10691945671680 is a wasteful number, since it uses less digits than its factorization.

10691945671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 10691945671680 in words is "ten trillion, six hundred ninety-one billion, nine hundred forty-five million, six hundred seventy-one thousand, six hundred eighty".