1089336641536 has 288 divisors, whose sum is σ = 2583399873600. Its totient is φ = 455219281920.

The previous prime is 1089336641509. The next prime is 1089336641557. The reversal of 1089336641536 is 6351466339801.

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, 1366795890 + ... + 1366796686.

It is an arithmetic number, because the mean of its divisors is an integer number (8970138450).

Almost surely, 2^{1089336641536} is an apocalyptic number.

1089336641536 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 1089336641536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291699936800).

1089336641536 is an abundant number, since it is smaller than the sum of its proper divisors (1494063232064).

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

1089336641536 is a wasteful number, since it uses less digits than its factorization.

1089336641536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 55.

The spelling of 1089336641536 in words is "one trillion, eighty-nine billion, three hundred thirty-six million, six hundred forty-one thousand, five hundred thirty-six".