19989683750400 has 1440 divisors, whose sum is σ = 86323910416128. Its totient is φ = 4034115993600.

The previous prime is 19989683750389. The next prime is 19989683750501. The reversal of 19989683750400 is 405738698991.

It is a Harshad number since it is a multiple of its sum of digits (69).

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, 562580635 + ... + 562616165.

Almost surely, 2^{19989683750400} is an apocalyptic number.

19989683750400 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 19989683750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43161955208064).

19989683750400 is an abundant number, since it is smaller than the sum of its proper divisors (66334226665728).

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

19989683750400 is a wasteful number, since it uses less digits than its factorization.

19989683750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35612 (or 35584 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 69.

The spelling of 19989683750400 in words is "nineteen trillion, nine hundred eighty-nine billion, six hundred eighty-three million, seven hundred fifty thousand, four hundred".