1023378581680 has 160 divisors (see below), whose sum is σ = 2933861470848. Its totient is φ = 323282534400.

The previous prime is 1023378581677. The next prime is 1023378581681. The reversal of 1023378581680 is 861858733201.

It is a happy number.

1023378581680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (1023378581681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3808560 + ... + 4068400.

Almost surely, 2^{1023378581680} is an apocalyptic number.

1023378581680 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 1023378581680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466930735424).

1023378581680 is an abundant number, since it is smaller than the sum of its proper divisors (1910482889168).

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

1023378581680 is a wasteful number, since it uses less digits than its factorization.

1023378581680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260415 (or 260409 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 1023378581680 in words is "one trillion, twenty-three billion, three hundred seventy-eight million, five hundred eighty-one thousand, six hundred eighty".