1000828846080 has 1200 divisors, whose sum is σ = 4247735627520. Its totient is φ = 220575301632.

The previous prime is 1000828846067. The next prime is 1000828846081. The reversal of 1000828846080 is 806488280001.

It is a happy number.

1000828846080 is a `hidden beast` number, since 10 + 0 + 0 + 8 + 28 + 8 + 4 + 608 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1000828846081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1347010189 + ... + 1347010931.

Almost surely, 2^{1000828846080} is an apocalyptic number.

1000828846080 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 1000828846080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123867813760).

1000828846080 is an abundant number, since it is smaller than the sum of its proper divisors (3246906781440).

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

1000828846080 is an frugal number, since it uses more digits than its factorization.

1000828846080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 1000828846080 in words is "one trillion, eight hundred twenty-eight million, eight hundred forty-six thousand, eighty".