1083553985376 has 480 divisors, whose sum is σ = 3478118035392. Its totient is φ = 329533194240.

The previous prime is 1083553985357. The next prime is 1083553985387. The reversal of 1083553985376 is 6735893553801.

It is a happy number.

1083553985376 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 5 + 5 + 3 + 98 + 537 + 6 = 666.

1083553985376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1083553985376² (a number of 25 digits) contains 22 as substring.

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, 507043380 + ... + 507045516.

Almost surely, 2^{1083553985376} is an apocalyptic number.

1083553985376 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 1083553985376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739059017696).

1083553985376 is an abundant number, since it is smaller than the sum of its proper divisors (2394564050016).

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

1083553985376 is a wasteful number, since it uses less digits than its factorization.

1083553985376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 1083553985376 in words is "one trillion, eighty-three billion, five hundred fifty-three million, nine hundred eighty-five thousand, three hundred seventy-six".