1819901952000 has 1824 divisors, whose sum is σ = 7832092806720. Its totient is φ = 415236096000.

The previous prime is 1819901951999. The next prime is 1819901952007. The reversal of 1819901952000 is 2591099181.

1819901952000 is a `hidden beast` number, since 18 + 19 + 90 + 19 + 520 + 0 + 0 = 666.

It is a super-2 number, since 2×1819901952000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1819901952007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107053055992 + ... + 107053056008.

It is an arithmetic number, because the mean of its divisors is an integer number (4293910530).

Almost surely, 2^{1819901952000} is an apocalyptic number.

1819901952000 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 1819901952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916046403360).

1819901952000 is an abundant number, since it is smaller than the sum of its proper divisors (6012190854720).

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

1819901952000 is an frugal number, since it uses more digits than its factorization.

1819901952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 45.

The spelling of 1819901952000 in words is "one trillion, eight hundred nineteen billion, nine hundred one million, nine hundred fifty-two thousand".