1998903901680 has 320 divisors, whose sum is σ = 7979532134400. Its totient is φ = 450456975360.

The previous prime is 1998903901669. The next prime is 1998903901697. The reversal of 1998903901680 is 861093098991.

1998903901680 is a `hidden beast` number, since 1 + 9 + 9 + 89 + 0 + 390 + 168 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142516 + ... + 2004524.

It is an arithmetic number, because the mean of its divisors is an integer number (24936037920).

Almost surely, 2^{1998903901680} is an apocalyptic number.

1998903901680 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 1998903901680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989766067200).

1998903901680 is an abundant number, since it is smaller than the sum of its proper divisors (5980628232720).

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

1998903901680 is a wasteful number, since it uses less digits than its factorization.

1998903901680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862109 (or 1862097 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 63.

The spelling of 1998903901680 in words is "one trillion, nine hundred ninety-eight billion, nine hundred three million, nine hundred one thousand, six hundred eighty".