1078386514020 has 384 divisors, whose sum is σ = 3534705377280. Its totient is φ = 272599810560.

The previous prime is 1078386513989. The next prime is 1078386514039. The reversal of 1078386514020 is 204156838701.

1078386514020 is a `hidden beast` number, since 10 + 78 + 38 + 6 + 514 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 397780465 + ... + 397783175.

It is an arithmetic number, because the mean of its divisors is an integer number (9204961920).

Almost surely, 2^{1078386514020} is an apocalyptic number.

1078386514020 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 1078386514020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767352688640).

1078386514020 is an abundant number, since it is smaller than the sum of its proper divisors (2456318863260).

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

1078386514020 is a wasteful number, since it uses less digits than its factorization.

1078386514020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1078386514020 in words is "one trillion, seventy-eight billion, three hundred eighty-six million, five hundred fourteen thousand, twenty".