1076385782016 has 432 divisors, whose sum is σ = 3386973408000. Its totient is φ = 327462912000.

The previous prime is 1076385781979. The next prime is 1076385782033. The reversal of 1076385782016 is 6102875836701.

It is a happy number.

1076385782016 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 38 + 578 + 20 + 16 = 666.

1076385782016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 953396940 + ... + 953398068.

Almost surely, 2^{1076385782016} is an apocalyptic number.

1076385782016 is a gapful number since it is divisible by the number (16) 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 1076385782016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693486704000).

1076385782016 is an abundant number, since it is smaller than the sum of its proper divisors (2310587625984).

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

1076385782016 is a wasteful number, since it uses less digits than its factorization.

1076385782016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 1076385782016 in words is "one trillion, seventy-six billion, three hundred eighty-five million, seven hundred eighty-two thousand, sixteen".