1073728450820 has 96 divisors (see below), whose sum is σ = 2328025190400. Its totient is φ = 415678293504.

The previous prime is 1073728450807. The next prime is 1073728450849. The reversal of 1073728450820 is 280548273701.

It is a super-2 number, since 2×1073728450820² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110245511 + ... + 110255249.

It is an arithmetic number, because the mean of its divisors is an integer number (24250262400).

Almost surely, 2^{1073728450820} is an apocalyptic number.

1073728450820 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 1073728450820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164012595200).

1073728450820 is an abundant number, since it is smaller than the sum of its proper divisors (1254296739580).

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

1073728450820 is a wasteful number, since it uses less digits than its factorization.

1073728450820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10557 (or 10555 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 47.

The spelling of 1073728450820 in words is "one trillion, seventy-three billion, seven hundred twenty-eight million, four hundred fifty thousand, eight hundred twenty".