1090628517888 has 384 divisors, whose sum is σ = 3877826534400. Its totient is φ = 287631212544.

The previous prime is 1090628517887. The next prime is 1090628517889. The reversal of 1090628517888 is 8887158260901.

1090628517888 is a `hidden beast` number, since 1 + 0 + 90 + 6 + 28 + 517 + 8 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1090628517887) and next prime (1090628517889).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (1090628517887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26816673 + ... + 26857311.

It is an arithmetic number, because the mean of its divisors is an integer number (10098506600).

Almost surely, 2^{1090628517888} is an apocalyptic number.

1090628517888 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 1090628517888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938913267200).

1090628517888 is an abundant number, since it is smaller than the sum of its proper divisors (2787198016512).

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

1090628517888 is an equidigital number, since it uses as much as digits as its factorization.

1090628517888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40695 (or 40664 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 63.

The spelling of 1090628517888 in words is "one trillion, ninety billion, six hundred twenty-eight million, five hundred seventeen thousand, eight hundred eighty-eight".