19980989400100 has 27 divisors (see below), whose sum is σ = 43358843997651. Its totient is φ = 7992377880000.

The previous prime is 19980989400049. The next prime is 19980989400137. The reversal of 19980989400100 is 100498908991.

The square root of 19980989400100 is 4470010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 244010312676 + 19736979087424 = 493974^2 + 4442632^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 19980989399999 and 19980989400035.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44476600 + ... + 44923600.

Almost surely, 2^{19980989400100} is an apocalyptic number.

19980989400100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19980989400100 is the 4470010-th square number.

It is an amenable number.

19980989400100 is an abundant number, since it is smaller than the sum of its proper divisors (23377854597551).

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

19980989400100 is an frugal number, since it uses more digits than its factorization.

19980989400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894016 (or 447008 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 58.

The spelling of 19980989400100 in words is "nineteen trillion, nine hundred eighty billion, nine hundred eighty-nine million, four hundred thousand, one hundred".