1978571304960 has 416 divisors, whose sum is σ = 6675017583360. Its totient is φ = 499012337664.

The previous prime is 1978571304947. The next prime is 1978571304977. The reversal of 1978571304960 is 694031758791.

It is a super-2 number, since 2×1978571304960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1978571304894 and 1978571304903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 995757087 + ... + 995759073.

Almost surely, 2^{1978571304960} is an apocalyptic number.

1978571304960 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 1978571304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337508791680).

1978571304960 is an abundant number, since it is smaller than the sum of its proper divisors (4696446278400).

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

1978571304960 is a wasteful number, since it uses less digits than its factorization.

1978571304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 60.

The spelling of 1978571304960 in words is "one trillion, nine hundred seventy-eight billion, five hundred seventy-one million, three hundred four thousand, nine hundred sixty".