1001079889920 has 672 divisors, whose sum is σ = 3912677183520. Its totient is φ = 242653593600.

The previous prime is 1001079889861. The next prime is 1001079889963. The reversal of 1001079889920 is 299889701001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133812580 + ... + 133820060.

It is an arithmetic number, because the mean of its divisors is an integer number (5822436285).

Almost surely, 2^{1001079889920} is an apocalyptic number.

1001079889920 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 1001079889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956338591760).

1001079889920 is an abundant number, since it is smaller than the sum of its proper divisors (2911597293600).

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

1001079889920 is an equidigital number, since it uses as much as digits as its factorization.

1001079889920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7543 (or 7502 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 54.

The spelling of 1001079889920 in words is "one trillion, one billion, seventy-nine million, eight hundred eighty-nine thousand, nine hundred twenty".