1083778535520 has 960 divisors, whose sum is σ = 4222379943936. Its totient is φ = 260596776960.

The previous prime is 1083778535509. The next prime is 1083778535533. The reversal of 1083778535520 is 255358773801.

1083778535520 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 7 + 7 + 85 + 3 + 552 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 730800699 + ... + 730802181.

Almost surely, 2^{1083778535520} is an apocalyptic number.

1083778535520 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 1083778535520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111189971968).

1083778535520 is an abundant number, since it is smaller than the sum of its proper divisors (3138601408416).

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

1083778535520 is a wasteful number, since it uses less digits than its factorization.

1083778535520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 1083778535520 in words is "one trillion, eighty-three billion, seven hundred seventy-eight million, five hundred thirty-five thousand, five hundred twenty".