1378069355520 has 1760 divisors, whose sum is σ = 6111884782080. Its totient is φ = 291909795840.

The previous prime is 1378069355491. The next prime is 1378069355557. The reversal of 1378069355520 is 255539608731.

1378069355520 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 0 + 69 + 3 + 55 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1126793629 + ... + 1126794851.

It is an arithmetic number, because the mean of its divisors is an integer number (3472661808).

Almost surely, 2^{1378069355520} is an apocalyptic number.

1378069355520 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 1378069355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055942391040).

1378069355520 is an abundant number, since it is smaller than the sum of its proper divisors (4733815426560).

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

1378069355520 is a wasteful number, since it uses less digits than its factorization.

1378069355520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 1378069355520 in words is "one trillion, three hundred seventy-eight billion, sixty-nine million, three hundred fifty-five thousand, five hundred twenty".