1019920809280 has 112 divisors (see below), whose sum is σ = 2448025370640. Its totient is φ = 404723744768.

The previous prime is 1019920809239. The next prime is 1019920809283. The reversal of 1019920809280 is 829080299101.

It can be written as a sum of positive squares in 8 ways, for example, as 308300341504 + 711620467776 = 555248^2 + 843576^2 .

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1019920809283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74915754 + ... + 74929366.

Almost surely, 2^{1019920809280} is an apocalyptic number.

1019920809280 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 1019920809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224012685320).

1019920809280 is an abundant number, since it is smaller than the sum of its proper divisors (1428104561360).

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

1019920809280 is a wasteful number, since it uses less digits than its factorization.

1019920809280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15476 (or 15466 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 49.

The spelling of 1019920809280 in words is "one trillion, nineteen billion, nine hundred twenty million, eight hundred nine thousand, two hundred eighty".