1090587516960 has 384 divisors, whose sum is σ = 3689170168320. Its totient is φ = 269846839296.

The previous prime is 1090587516947. The next prime is 1090587516961. The reversal of 1090587516960 is 696157850901.

It is a super-2 number, since 2×1090587516960² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1090587516960.

It is not an unprimeable number, because it can be changed into a prime (1090587516961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195829056 + ... + 195834624.

It is an arithmetic number, because the mean of its divisors is an integer number (9607213980).

Almost surely, 2^{1090587516960} is an apocalyptic number.

1090587516960 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 1090587516960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844585084160).

1090587516960 is an abundant number, since it is smaller than the sum of its proper divisors (2598582651360).

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

1090587516960 is a wasteful number, since it uses less digits than its factorization.

1090587516960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5940 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 57.

The spelling of 1090587516960 in words is "one trillion, ninety billion, five hundred eighty-seven million, five hundred sixteen thousand, nine hundred sixty".