1090886975640 has 960 divisors, whose sum is σ = 4754917601280. Its totient is φ = 219348518400.

The previous prime is 1090886975617. The next prime is 1090886975681. The reversal of 1090886975640 is 465796880901.

1090886975640 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 8 + 8 + 69 + 7 + 564 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 85066269 + ... + 85079091.

It is an arithmetic number, because the mean of its divisors is an integer number (4953039168).

Almost surely, 2^{1090886975640} is an apocalyptic number.

1090886975640 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 1090886975640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377458800640).

1090886975640 is an abundant number, since it is smaller than the sum of its proper divisors (3664030625640).

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

1090886975640 is a wasteful number, since it uses less digits than its factorization.

1090886975640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12906 (or 12882 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 1090886975640 in words is "one trillion, ninety billion, eight hundred eighty-six million, nine hundred seventy-five thousand, six hundred forty".