10921687403600 has 120 divisors (see below), whose sum is σ = 27044248765632. Its totient is φ = 4235972889600.

The previous prime is 10921687403581. The next prime is 10921687403629. The reversal of 10921687403600 is 630478612901.

10921687403600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 630389 + ... + 4716011.

Almost surely, 2^{10921687403600} is an apocalyptic number.

10921687403600 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 10921687403600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13522124382816).

10921687403600 is an abundant number, since it is smaller than the sum of its proper divisors (16122561362032).

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

10921687403600 is a wasteful number, since it uses less digits than its factorization.

10921687403600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4085845 (or 4085834 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The spelling of 10921687403600 in words is "ten trillion, nine hundred twenty-one billion, six hundred eighty-seven million, four hundred three thousand, six hundred".