1938083059200 has 480 divisors, whose sum is σ = 6457806986400. Its totient is φ = 512368312320.

The previous prime is 1938083059189. The next prime is 1938083059267. The reversal of 1938083059200 is 29503808391.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1938083059200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3807628546 + ... + 3807629054.

It is an arithmetic number, because the mean of its divisors is an integer number (13453764555).

Almost surely, 2^{1938083059200} is an apocalyptic number.

1938083059200 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 1938083059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228903493200).

1938083059200 is an abundant number, since it is smaller than the sum of its proper divisors (4519723927200).

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

1938083059200 is a wasteful number, since it uses less digits than its factorization.

1938083059200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 1938083059200 in words is "one trillion, nine hundred thirty-eight billion, eighty-three million, fifty-nine thousand, two hundred".