1882295820000 has 1200 divisors, whose sum is σ = 7340886064512. Its totient is φ = 472158720000.

The previous prime is 1882295819981. The next prime is 1882295820011. The reversal of 1882295820000 is 285922881.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-3 number, since 3×1882295820000³ (a number of 38 digits) contains 333 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 an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 1858139494 + ... + 1858140506.

Almost surely, 2^{1882295820000} is an apocalyptic number.

1882295820000 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 1882295820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3670443032256).

1882295820000 is an abundant number, since it is smaller than the sum of its proper divisors (5458590244512).

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

1882295820000 is a wasteful number, since it uses less digits than its factorization.

1882295820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 1882295820000 in words is "one trillion, eight hundred eighty-two billion, two hundred ninety-five million, eight hundred twenty thousand".