1980493302816 has 384 divisors, whose sum is σ = 7215471083520. Its totient is φ = 515389132800.

The previous prime is 1980493302773. The next prime is 1980493302839. The reversal of 1980493302816 is 6182033940891.

1980493302816 is a `hidden beast` number, since 1 + 98 + 0 + 493 + 30 + 28 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2876611 + ... + 3497981.

It is an arithmetic number, because the mean of its divisors is an integer number (18790289280).

Almost surely, 2^{1980493302816} is an apocalyptic number.

1980493302816 is a gapful number since it is divisible by the number (16) 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 1980493302816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3607735541760).

1980493302816 is an abundant number, since it is smaller than the sum of its proper divisors (5234977780704).

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

1980493302816 is a wasteful number, since it uses less digits than its factorization.

1980493302816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621445 (or 621431 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 1980493302816 in words is "one trillion, nine hundred eighty billion, four hundred ninety-three million, three hundred two thousand, eight hundred sixteen".