1990016577990 has 576 divisors, whose sum is σ = 6324299504640. Its totient is φ = 425066019840.

The previous prime is 1990016577979. The next prime is 1990016578009. The reversal of 1990016577990 is 997756100991.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 2165414751 + ... + 2165415669.

It is an arithmetic number, because the mean of its divisors is an integer number (10979686640).

Almost surely, 2^{1990016577990} is an apocalyptic number.

1990016577990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1990016577990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162149752320).

1990016577990 is an abundant number, since it is smaller than the sum of its proper divisors (4334282926650).

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

1990016577990 is a wasteful number, since it uses less digits than its factorization.

1990016577990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 9644670, while the sum is 63.

The spelling of 1990016577990 in words is "one trillion, nine hundred ninety billion, sixteen million, five hundred seventy-seven thousand, nine hundred ninety".