1019980811520 has 864 divisors, whose sum is σ = 4003062021504. Its totient is φ = 237595852800.

The previous prime is 1019980811501. The next prime is 1019980811537. The reversal of 1019980811520 is 251180899101.

1019980811520 is a `hidden beast` number, since 10 + 19 + 98 + 0 + 8 + 11 + 520 = 666.

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 95 ways as a sum of consecutive naturals, for example, 389155810 + ... + 389158430.

It is an arithmetic number, because the mean of its divisors is an integer number (4633173636).

Almost surely, 2^{1019980811520} is an apocalyptic number.

1019980811520 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 1019980811520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001531010752).

1019980811520 is an abundant number, since it is smaller than the sum of its proper divisors (2983081209984).

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

1019980811520 is a wasteful number, since it uses less digits than its factorization.

1019980811520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 45.

The spelling of 1019980811520 in words is "one trillion, nineteen billion, nine hundred eighty million, eight hundred eleven thousand, five hundred twenty".