1090068295680 has 2496 divisors, whose sum is σ = 5049032002560. Its totient is φ = 219386216448.

The previous prime is 1090068295637. The next prime is 1090068295699. The reversal of 1090068295680 is 865928600901.

It is a happy number.

1090068295680 is a `hidden beast` number, since 10 + 9 + 0 + 0 + 68 + 2 + 9 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13133352919 + ... + 13133353001.

It is an arithmetic number, because the mean of its divisors is an integer number (2022849360).

Almost surely, 2^{1090068295680} is an apocalyptic number.

1090068295680 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 1090068295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524516001280).

1090068295680 is an abundant number, since it is smaller than the sum of its proper divisors (3958963706880).

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

1090068295680 is an equidigital number, since it uses as much as digits as its factorization.

1090068295680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 1090068295680 in words is "one trillion, ninety billion, sixty-eight million, two hundred ninety-five thousand, six hundred eighty".