1938475768080 has 160 divisors (see below), whose sum is σ = 6113550493440. Its totient is φ = 507972925440.

The previous prime is 1938475768067. The next prime is 1938475768091. The reversal of 1938475768080 is 808675748391.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15588229 + ... + 15712091.

It is an arithmetic number, because the mean of its divisors is an integer number (38209690584).

Almost surely, 2^{1938475768080} is an apocalyptic number.

1938475768080 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 1938475768080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056775246720).

1938475768080 is an abundant number, since it is smaller than the sum of its proper divisors (4175074725360).

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

1938475768080 is a wasteful number, since it uses less digits than its factorization.

1938475768080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125009 (or 125003 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 66.

The spelling of 1938475768080 in words is "one trillion, nine hundred thirty-eight billion, four hundred seventy-five million, seven hundred sixty-eight thousand, eighty".