1090908727272 has 512 divisors, whose sum is σ = 3838704307200. Its totient is φ = 279329845248.

The previous prime is 1090908727199. The next prime is 1090908727283. The reversal of 1090908727272 is 2727278090901.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 405089158 + ... + 405091850.

It is an arithmetic number, because the mean of its divisors is an integer number (7497469350).

Almost surely, 2^{1090908727272} is an apocalyptic number.

1090908727272 is a gapful number since it is divisible by the number (12) 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 1090908727272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919352153600).

1090908727272 is an abundant number, since it is smaller than the sum of its proper divisors (2747795579928).

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

1090908727272 is a wasteful number, since it uses less digits than its factorization.

1090908727272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3322 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 1090908727272 in words is "one trillion, ninety billion, nine hundred eight million, seven hundred twenty-seven thousand, two hundred seventy-two".