1085780672064 has 189 divisors, whose sum is σ = 3421708530331. Its totient is φ = 328941085440.

The previous prime is 1085780672051. The next prime is 1085780672077. The reversal of 1085780672064 is 4602760875801.

The square root of 1085780672064 is 1042008.

It is a perfect power (a square), and thus also a powerful number.

1085780672064 is a `hidden beast` number, since 1 + 0 + 8 + 578 + 0 + 6 + 7 + 2 + 0 + 64 = 666.

1085780672064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1085780672051) and next prime (1085780672077).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1085780672064.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 275088139 + ... + 275092085.

Almost surely, 2^{1085780672064} is an apocalyptic number.

1085780672064 is the 1042008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085780672064

1085780672064 is an abundant number, since it is smaller than the sum of its proper divisors (2335927858267).

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

1085780672064 is an frugal number, since it uses more digits than its factorization.

1085780672064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7934 (or 3963 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 1085780672064 in words is "one trillion, eighty-five billion, seven hundred eighty million, six hundred seventy-two thousand, sixty-four".