1677984825990 has 192 divisors, whose sum is σ = 4535680520448. Its totient is φ = 396781566720.

The previous prime is 1677984825989. The next prime is 1677984826009. The reversal of 1677984825990 is 995284897761.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120650617 + ... + 120664523.

It is an arithmetic number, because the mean of its divisors is an integer number (23623336044).

Almost surely, 2^{1677984825990} is an apocalyptic number.

1677984825990 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 1677984825990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267840260224).

1677984825990 is an abundant number, since it is smaller than the sum of its proper divisors (2857695694458).

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

1677984825990 is a wasteful number, since it uses less digits than its factorization.

1677984825990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14755 (or 14744 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 75.

The spelling of 1677984825990 in words is "one trillion, six hundred seventy-seven billion, nine hundred eighty-four million, eight hundred twenty-five thousand, nine hundred ninety".