1378288783872 has 3360 divisors, whose sum is σ = 6167404260864. Its totient is φ = 300987187200.

The previous prime is 1378288783871. The next prime is 1378288783913. The reversal of 1378288783872 is 2783878828731.

1378288783872 is a `hidden beast` number, since 1 + 378 + 28 + 87 + 83 + 87 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (404619264) is a multiple of the sum of its prime divisors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 1378288783872.

It is not an unprimeable number, because it can be changed into a prime (1378288783871) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 44460928497 + ... + 44460928527.

Almost surely, 2^{1378288783872} is an apocalyptic number.

1378288783872 is a gapful number since it is divisible by the number (12) 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 1378288783872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083702130432).

1378288783872 is an abundant number, since it is smaller than the sum of its proper divisors (4789115476992).

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

1378288783872 is a wasteful number, since it uses less digits than its factorization.

1378288783872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 84 counting only the distinct ones).

The product of its digits is 404619264, while the sum is 72.

It can be divided in two parts, 1378288 and 783872, that added together give a triangular number (2162160 = T₂₀₇₉).

The spelling of 1378288783872 in words is "one trillion, three hundred seventy-eight billion, two hundred eighty-eight million, seven hundred eighty-three thousand, eight hundred seventy-two".