1990179828000 has 2304 divisors, whose sum is σ = 9229161876480. Its totient is φ = 407586816000.

The previous prime is 1990179827947. The next prime is 1990179828019. The reversal of 1990179828000 is 8289710991.

1990179828000 is a `hidden beast` number, since 199 + 0 + 179 + 8 + 280 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4727267790 + ... + 4727268210.

It is an arithmetic number, because the mean of its divisors is an integer number (4005712620).

Almost surely, 2^{1990179828000} is an apocalyptic number.

1990179828000 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 1990179828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4614580938240).

1990179828000 is an abundant number, since it is smaller than the sum of its proper divisors (7238982048480).

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

1990179828000 is a wasteful number, since it uses less digits than its factorization.

1990179828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 54.

The spelling of 1990179828000 in words is "one trillion, nine hundred ninety billion, one hundred seventy-nine million, eight hundred twenty-eight thousand".