12820357010780 has 192 divisors, whose sum is σ = 30472620304896. Its totient is φ = 4490204544000.

The previous prime is 12820357010761. The next prime is 12820357010789. The reversal of 12820357010780 is 8701075302821.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12820357010789) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 424767290 + ... + 424797470.

It is an arithmetic number, because the mean of its divisors is an integer number (158711564088).

Almost surely, 2^{12820357010780} is an apocalyptic number.

12820357010780 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 12820357010780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15236310152448).

12820357010780 is an abundant number, since it is smaller than the sum of its proper divisors (17652263294116).

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

12820357010780 is a wasteful number, since it uses less digits than its factorization.

12820357010780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30868 (or 30866 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 44.

The spelling of 12820357010780 in words is "twelve trillion, eight hundred twenty billion, three hundred fifty-seven million, ten thousand, seven hundred eighty".