1820818916280 has 1536 divisors, whose sum is σ = 7894478592000. Its totient is φ = 374854459392.

The previous prime is 1820818916243. The next prime is 1820818916339. The reversal of 1820818916280 is 826198180281.

1820818916280 is a `hidden beast` number, since 1 + 8 + 2 + 0 + 8 + 1 + 8 + 9 + 1 + 628 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 1863683152 + ... + 1863684128.

It is an arithmetic number, because the mean of its divisors is an integer number (5139634500).

Almost surely, 2^{1820818916280} is an apocalyptic number.

1820818916280 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 1820818916280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947239296000).

1820818916280 is an abundant number, since it is smaller than the sum of its proper divisors (6073659675720).

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

1820818916280 is a wasteful number, since it uses less digits than its factorization.

1820818916280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 54.

The spelling of 1820818916280 in words is "one trillion, eight hundred twenty billion, eight hundred eighteen million, nine hundred sixteen thousand, two hundred eighty".