1070981720820 has 192 divisors, whose sum is σ = 3636515635200. Its totient is φ = 259512750720.

The previous prime is 1070981720813. The next prime is 1070981720839. The reversal of 1070981720820 is 280271890701.

It is a super-2 number, since 2×1070981720820² (a number of 25 digits) contains 22 as substring.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13259397 + ... + 13339923.

It is an arithmetic number, because the mean of its divisors is an integer number (18940185600).

Almost surely, 2^{1070981720820} is an apocalyptic number.

1070981720820 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 1070981720820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818257817600).

1070981720820 is an abundant number, since it is smaller than the sum of its proper divisors (2565533914380).

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

1070981720820 is a wasteful number, since it uses less digits than its factorization.

1070981720820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82795 (or 82787 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 1070981720820 in words is "one trillion, seventy billion, nine hundred eighty-one million, seven hundred twenty thousand, eight hundred twenty".