10694877223680 has 720 divisors, whose sum is σ = 41343593949504. Its totient is φ = 2624175636480.

The previous prime is 10694877223673. The next prime is 10694877223783. The reversal of 10694877223680 is 8632277849601.

10694877223680 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 487 + 72 + 2 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×10694877223680² (a number of 27 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 427252765 + ... + 427277795.

Almost surely, 2^{10694877223680} is an apocalyptic number.

10694877223680 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 10694877223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20671796974752).

10694877223680 is an abundant number, since it is smaller than the sum of its proper divisors (30648716725824).

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

10694877223680 is a wasteful number, since it uses less digits than its factorization.

10694877223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25394 (or 25371 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 10694877223680 in words is "ten trillion, six hundred ninety-four billion, eight hundred seventy-seven million, two hundred twenty-three thousand, six hundred eighty".