1090725976830 has 128 divisors (see below), whose sum is σ = 3107161276416. Its totient is φ = 239786179200.

The previous prime is 1090725976829. The next prime is 1090725976831. The reversal of 1090725976830 is 386795270901.

It is an interprime number because it is at equal distance from previous prime (1090725976829) and next prime (1090725976831).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1090725976831) 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, 547185 + ... + 1575075.

It is an arithmetic number, because the mean of its divisors is an integer number (24274697472).

Almost surely, 2^{1090725976830} is an apocalyptic number.

1090725976830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1090725976830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553580638208).

1090725976830 is an abundant number, since it is smaller than the sum of its proper divisors (2016435299586).

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

1090725976830 is a wasteful number, since it uses less digits than its factorization.

1090725976830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028102.

The product of its (nonzero) digits is 5715360, while the sum is 57.

The spelling of 1090725976830 in words is "one trillion, ninety billion, seven hundred twenty-five million, nine hundred seventy-six thousand, eight hundred thirty".