1072727210880 has 1024 divisors, whose sum is σ = 4353003244800. Its totient is φ = 247329718272.

The previous prime is 1072727210783. The next prime is 1072727210921. The reversal of 1072727210880 is 880127272701.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 981451614 + ... + 981452706.

Almost surely, 2^{1072727210880} is an apocalyptic number.

1072727210880 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 1072727210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176501622400).

1072727210880 is an abundant number, since it is smaller than the sum of its proper divisors (3280276033920).

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

1072727210880 is a wasteful number, since it uses less digits than its factorization.

1072727210880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 45.

The spelling of 1072727210880 in words is "one trillion, seventy-two billion, seven hundred twenty-seven million, two hundred ten thousand, eight hundred eighty".