10921790676000 has 384 divisors, whose sum is σ = 36638980874496. Its totient is φ = 2842639564800.

The previous prime is 10921790675989. The next prime is 10921790676001. The reversal of 10921790676000 is 67609712901.

It is a happy number.

10921790676000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10921790676001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 770380912 + ... + 770395088.

It is an arithmetic number, because the mean of its divisors is an integer number (95414012694).

Almost surely, 2^{10921790676000} is an apocalyptic number.

10921790676000 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 10921790676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18319490437248).

10921790676000 is an abundant number, since it is smaller than the sum of its proper divisors (25717190198496).

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

10921790676000 is a wasteful number, since it uses less digits than its factorization.

10921790676000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15741 (or 15723 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 48.

The spelling of 10921790676000 in words is "ten trillion, nine hundred twenty-one billion, seven hundred ninety million, six hundred seventy-six thousand".