1085767076160 has 672 divisors, whose sum is σ = 4167975651840. Its totient is φ = 257715634176.

The previous prime is 1085767076159. The next prime is 1085767076179. The reversal of 1085767076160 is 616707675801.

1085767076160 is a `hidden beast` number, since 1 + 0 + 8 + 576 + 7 + 0 + 7 + 6 + 1 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1085767076097 and 1085767076106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127179412 + ... + 127187948.

It is an arithmetic number, because the mean of its divisors is an integer number (6202344720).

Almost surely, 2^{1085767076160} is an apocalyptic number.

1085767076160 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 1085767076160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083987825920).

1085767076160 is an abundant number, since it is smaller than the sum of its proper divisors (3082208575680).

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

1085767076160 is a wasteful number, since it uses less digits than its factorization.

1085767076160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8695 (or 8682 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 1085767076160 in words is "one trillion, eighty-five billion, seven hundred sixty-seven million, seventy-six thousand, one hundred sixty".