1988958968640 has 504 divisors, whose sum is σ = 8093036371680. Its totient is φ = 446911911936.

The previous prime is 1988958968629. The next prime is 1988958968651. The reversal of 1988958968640 is 468698598891.

It is an interprime number because it is at equal distance from previous prime (1988958968629) and next prime (1988958968651).

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 1988958968640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8206639 + ... + 8445521.

Almost surely, 2^{1988958968640} is an apocalyptic number.

1988958968640 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 1988958968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046518185840).

1988958968640 is an abundant number, since it is smaller than the sum of its proper divisors (6104077403040).

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

1988958968640 is a wasteful number, since it uses less digits than its factorization.

1988958968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238979 (or 238959 counting only the distinct ones).

The product of its (nonzero) digits is 2149908480, while the sum is 81.

The spelling of 1988958968640 in words is "one trillion, nine hundred eighty-eight billion, nine hundred fifty-eight million, nine hundred sixty-eight thousand, six hundred forty".