1980462268512 has 864 divisors, whose sum is σ = 7152082479360. Its totient is φ = 508836556800.

The previous prime is 1980462268511. The next prime is 1980462268513. The reversal of 1980462268512 is 2158622640891.

1980462268512 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 4 + 62 + 2 + 68 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (1980462268511) and next prime (1980462268513).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1980462268511) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 2305543539 + ... + 2305544397.

It is an arithmetic number, because the mean of its divisors is an integer number (8277873240).

Almost surely, 2^{1980462268512} is an apocalyptic number.

1980462268512 is a gapful number since it is divisible by the number (12) 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 1980462268512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3576041239680).

1980462268512 is an abundant number, since it is smaller than the sum of its proper divisors (5171620210848).

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

1980462268512 is a wasteful number, since it uses less digits than its factorization.

1980462268512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1980462268512 in words is "one trillion, nine hundred eighty billion, four hundred sixty-two million, two hundred sixty-eight thousand, five hundred twelve".