1980535504896 has 1152 divisors, whose sum is σ = 6871023890640. Its totient is φ = 566429220864.

The previous prime is 1980535504879. The next prime is 1980535504907. The reversal of 1980535504896 is 6984055350891.

1980535504896 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 5 + 35 + 504 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 37368594406 + ... + 37368594458.

Almost surely, 2^{1980535504896} is an apocalyptic number.

1980535504896 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 1980535504896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435511945320).

1980535504896 is an abundant number, since it is smaller than the sum of its proper divisors (4890488385744).

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

1980535504896 is an frugal number, since it uses more digits than its factorization.

1980535504896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 1980535504896 in words is "one trillion, nine hundred eighty billion, five hundred thirty-five million, five hundred four thousand, eight hundred ninety-six".