1383168890880 has 768 divisors, whose sum is σ = 5657531443200. Its totient is φ = 313992806400.

The previous prime is 1383168890791. The next prime is 1383168890881. The reversal of 1383168890880 is 880988613831.

1383168890880 is a `hidden beast` number, since 1 + 383 + 16 + 88 + 90 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1383168890881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 292236994 + ... + 292241726.

It is an arithmetic number, because the mean of its divisors is an integer number (7366577400).

Almost surely, 2^{1383168890880} is an apocalyptic number.

1383168890880 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 1383168890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828765721600).

1383168890880 is an abundant number, since it is smaller than the sum of its proper divisors (4274362552320).

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

1383168890880 is a wasteful number, since it uses less digits than its factorization.

1383168890880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4927 (or 4901 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 1383168890880 in words is "one trillion, three hundred eighty-three billion, one hundred sixty-eight million, eight hundred ninety thousand, eight hundred eighty".