1649898082800 has 2880 divisors, whose sum is σ = 7491069112320. Its totient is φ = 340402176000.

The previous prime is 1649898082751. The next prime is 1649898082837. The reversal of 1649898082800 is 82808989461.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 22601343564 + ... + 22601343636.

It is an arithmetic number, because the mean of its divisors is an integer number (2601065664).

Almost surely, 2^{1649898082800} is an apocalyptic number.

1649898082800 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 1649898082800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745534556160).

1649898082800 is an abundant number, since it is smaller than the sum of its proper divisors (5841171029520).

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

1649898082800 is a wasteful number, since it uses less digits than its factorization.

1649898082800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 1649898082800 in words is "one trillion, six hundred forty-nine billion, eight hundred ninety-eight million, eighty-two thousand, eight hundred".