1980138971700 has 432 divisors, whose sum is σ = 6480085248000. Its totient is φ = 505196697600.

The previous prime is 1980138971633. The next prime is 1980138971729. The reversal of 1980138971700 is 71798310891.

1980138971700 is a `hidden beast` number, since 1 + 98 + 0 + 1 + 389 + 7 + 170 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 993545904 + ... + 993547896.

Almost surely, 2^{1980138971700} is an apocalyptic number.

1980138971700 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 1980138971700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240042624000).

1980138971700 is an abundant number, since it is smaller than the sum of its proper divisors (4499946276300).

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

1980138971700 is a wasteful number, since it uses less digits than its factorization.

1980138971700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 54.

The spelling of 1980138971700 in words is "one trillion, nine hundred eighty billion, one hundred thirty-eight million, nine hundred seventy-one thousand, seven hundred".