10905773022720 has 800 divisors, whose sum is σ = 41769596949696. Its totient is φ = 2709946368000.

The previous prime is 10905773022701. The next prime is 10905773022757. The reversal of 10905773022720 is 2722037750901.

10905773022720 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 5 + 77 + 302 + 272 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 356021805 + ... + 356052435.

Almost surely, 2^{10905773022720} is an apocalyptic number.

10905773022720 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 10905773022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20884798474848).

10905773022720 is an abundant number, since it is smaller than the sum of its proper divisors (30863823926976).

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

10905773022720 is a wasteful number, since it uses less digits than its factorization.

10905773022720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30784 (or 30759 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 10905773022720 in words is "ten trillion, nine hundred five billion, seven hundred seventy-three million, twenty-two thousand, seven hundred twenty".