1380878254080 has 1728 divisors, whose sum is σ = 5771004744960. Its totient is φ = 313918488576.

The previous prime is 1380878254037. The next prime is 1380878254087. The reversal of 1380878254080 is 804528780831.

1380878254080 is a `hidden beast` number, since 1 + 3 + 80 + 87 + 82 + 5 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380878254087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47616491506 + ... + 47616491534.

It is an arithmetic number, because the mean of its divisors is an integer number (3339701820).

Almost surely, 2^{1380878254080} is an apocalyptic number.

1380878254080 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 1380878254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885502372480).

1380878254080 is an abundant number, since it is smaller than the sum of its proper divisors (4390126490880).

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

1380878254080 is an frugal number, since it uses more digits than its factorization.

1380878254080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 1380878254080 in words is "one trillion, three hundred eighty billion, eight hundred seventy-eight million, two hundred fifty-four thousand, eighty".