1787138949120 has 1440 divisors, whose sum is σ = 7196803375104. Its totient is φ = 370079170560.

The previous prime is 1787138949007. The next prime is 1787138949149. The reversal of 1787138949120 is 219498317871.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38024232937 + ... + 38024232983.

Almost surely, 2^{1787138949120} is an apocalyptic number.

1787138949120 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 1787138949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598401687552).

1787138949120 is an abundant number, since it is smaller than the sum of its proper divisors (5409664425984).

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

1787138949120 is an equidigital number, since it uses as much as digits as its factorization.

1787138949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 60.

The spelling of 1787138949120 in words is "one trillion, seven hundred eighty-seven billion, one hundred thirty-eight million, nine hundred forty-nine thousand, one hundred twenty".