1990309128192 has 1536 divisors, whose sum is σ = 7736601600000. Its totient is φ = 496628858880.

The previous prime is 1990309128179. The next prime is 1990309128229. The reversal of 1990309128192 is 2918219030991.

1990309128192 is a `hidden beast` number, since 199 + 0 + 3 + 0 + 91 + 281 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×1990309128192² (a number of 25 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10001553309 + ... + 10001553507.

It is an arithmetic number, because the mean of its divisors is an integer number (5036850000).

Almost surely, 2^{1990309128192} is an apocalyptic number.

1990309128192 is a gapful number since it is divisible by the number (12) 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 1990309128192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868300800000).

1990309128192 is an abundant number, since it is smaller than the sum of its proper divisors (5746292471808).

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

1990309128192 is an equidigital number, since it uses as much as digits as its factorization.

1990309128192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 54.

The spelling of 1990309128192 in words is "one trillion, nine hundred ninety billion, three hundred nine million, one hundred twenty-eight thousand, one hundred ninety-two".