1083653238528 has 216 divisors, whose sum is σ = 3571768488288. Its totient is φ = 309530198016.

The previous prime is 1083653238517. The next prime is 1083653238559. The reversal of 1083653238528 is 8258323563801.

1083653238528 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 6 + 532 + 3 + 85 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80520376 + ... + 80533832.

Almost surely, 2^{1083653238528} is an apocalyptic number.

1083653238528 is a gapful number since it is divisible by the number (18) 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 1083653238528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785884244144).

1083653238528 is an abundant number, since it is smaller than the sum of its proper divisors (2488115249760).

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

1083653238528 is a wasteful number, since it uses less digits than its factorization.

1083653238528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18479 (or 18462 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 1083653238528 in words is "one trillion, eighty-three billion, six hundred fifty-three million, two hundred thirty-eight thousand, five hundred twenty-eight".